To be honest, that looks like a standard faucet that you could pick up brand new for under $50. Leaks aren't anything to play around with. If this was a Delta faucet, we've replaced a cartridge twice in a kitchen faucet that is about that old and still have leaks around the handle, so it might be time for a total replacement. 15 years on a Delta bathroom faucet isn't a bad lifespan. If you want something that will last a couple of lifetimes, look at In2Aqua bathroom faucets.

Its a glacier bay with a lifetime warranty. HD mailed me the replacement parts for free. It only leaks if we use the hot water. I don't know how to replace the whole thing and this is a quick fix to test out if I could get the screw out. I already have the replacement parts. I just emailed HD to mail me a replacement screw.

Looks like a job for a screw extractor.

I don't have any special tools for it. Im going to see if I have any WD-40 left. A youtube video said you could use a Pilot Drill Bit on reverse to get it out. I think thats a last resort option though

Kroil penetrating oil is phenominal at loosening frozen parts.

Pour some vinegar in the top of the handle to soak the screw and dissolve the mineral deposits.

I have some bigger issue than the screw now. The pipes started to leak. I doubt any plumber would come out now and not sure we want one to come. Is this something I could attempt to fix on my own or should we stop using the sink till the virus is over and have a plumber come?

https://youtu.be/pOkum3SsLmA

You should give up on that faucet and get a replacement, which will be far easier to install than to get the existing one repaired. You can get a very nice, high-quality faucet for far less than having a plumber come. You don't have to wait...order a faucet for delivery from Amazon, Home Depot, or Build.com, and watch a video or two on YouTube to see how simple it is to do a faucet install. If you don't have the basic tools -- a couple of adjustable wrenches and perhaps a screwdriver -- order those online, too. You'll be money ahead. I understand that not everyone has DIY skills, but I also hate to see people pay hundreds of dollars for something they could do themselves. It's never to late to start learning how to do these simple things.

Lowes (for example) has lots of centerset faucets similar to yours. This inexpensive Project Source model is nearly identical but I prefer this Peerless model without the plastic knob.

I have no idea what a "popping" is or where you mean it's leaking. But I agree, as ugly as that faucet is you should replace it. And don't use another cheap store brand like Project Source, Glacier Bay, etc. I also wouldn't use the low-end Peerless. Step up to a Delta, and make sure it's not a model that's exclusive to the store selling it.

I was typing on my phone. I meant that the pipes underneath started to link. I included a youtube link of the leaks

I am not a plumber. I started trying to fix the faucet that spurts out water when it turns to the hot side. The water spurts from under the handle into and then out from under it. Last night the pipes started to leak. It looks like it leaks from 4 places. The hose that attaches to the hot water drips. Three of the connections. Im willing to try it myself before we bring in a plumber and take the risk. We could go without the sink till this virus blows over.

Here are better pictures marking where it leaks. When I turn on the faucet, most of the water goes down the drain. Some of it leaks frm where the pipes connects under the sink, the two parts where the pipes connect, and the hose for the hot water. The hose for the hot water I'm not sure where the leaks starts for it. I just see water dripping down it and dripping down.

You're saying I should just replace the whole handle instead of using the warranty. If I leave that for last, how do I first fix the pipes that are leaking? Is it an issue that everything where the water hoses connect look rusted? This would be my first time doing something like this and its a good time to force myself to get it done. I don't have a wrench that is wide enough to wrap around the screw to tighten it.

Don't replace just the handle, replace the whole faucet. Since it hasn't been touched in 15 years, the supply lines should be replaced whether or not you replace the faucet. Those red arrows are pointing to connections, which you can tighten with an adjustable wrench. You can tighten the drain nut with slip-joint pliers (Channel locks is one well-known brand), be careful because it's plastic. Be aware, that just because you see water somewhere on the pipe, it doesn't mean that it originated at that point. It could be coming from above and dripping down the pipe. Dry everything off really well and then test it. Pour water down the drain using water from another source to see if the drain is leaking and eliminate the supply lines as a potential source of a leak. After you've taken care of the drain, then test the supply lines. Use toilet paper to test the connections, as that makes it easy to detect.

if you’re getting leaks that seem to come from the supply lines underneath the sink, and it only happens when you turn on the water, those connections aren’t leaking. If they had leaks it would happen all the time. What you’re having is water dripping from above, either from the faucet or the drain connections and it is getting on the supply lines, which makes it look like they are leaking.

- Replace the faucet, it’s worthless

- Gently tighten the drain connections, or replace them if they won’t stop leaking

I understand that you’re not a plumber, but this is very easy to do. As I said before, look at a couple of YouTube videos and then ask more questions if you have them.

Before you get deeper into this project, I would test the shutoff valves. Hopefully they will successfully stop all water flow but if you can't get them to function correctly, you may wish to stop touching it until you have the new faucet, and the necessary tools at hand. Many new faucets come with supply lines so check the specs when you order the materials. Also get a roll of teflon tape, if you don't already have one.

Didn't you include new tools in your budget? It is amazing how quickly projects get more expensive but buying tools instead of a plumber's fee is a great investment.

I don't have a budget for it. Trying to spend the least I could. I have some tools already just no wrench wide enough for the pipes.

I tested it now with water from on outside source and from the faucet. I tried two tests. The first time when I poured water from a bottle it splashed a bit and I saw some leaking. I tried it a second time with a lot more water that filled the whole sink. There was no leak. Then I turned on the cold water, which started the leak again, and I turned off the hot water valve which didn't stop the leak. The leak comes from where Diehard is mentioning, that circle part that the hot water hose meets the faucet.

Thank you to whoever suggested using an external water source to test the leak. Right now I poured some vinegar over the screw, hoping it will helps loosen the screw a bit. Im going to reach out to HD to see if they would replace the whole faucet. If not then I guess my best option is to buy a replacement faucet and change all the stuff under the hot water side?

That looks really corroded under there, and with such a cheap faucet I wouldn't spend any time trying to fix the leak at the handle. You will have a hard time fixing the leak underneath. Replace the faucet. It will be easier and less frustrating. Hopefully you'll get one that looks more proportional to the size of the sink. Assuming you haven't touched the valves in 15 years either, go ahead and replace those. Make sure you get 1/4 turn valves.

I tested the shutoff valves and both worked. What items and parts should I buy from HD to replace the whole thing?

A centerset faucet. One or two handles, either fits. The faucet may or may not come with supply lines. If it doesn't, then you'll need to buy those. Measure the distance from the valve to the underside of the sink where the faucet sits to find the length you'll need. You'll need a length that will fit with either a gradual bend or loop. You don't want to bend the supply lines too severely. The faucet will most likely come with a drain assembly. If the existing one is in good condition, you won't need to replace it. If you do replace it you'll need silicone and slip-joint pliers to remove the old (and then tighten the new) large nuts.