These plants don't require insects for pollination to occur, and it is more likely that wind currents are responsible for much of this activity in the wild...wind and water. Human intervention can occur with a brush. These are seed bearing plants, just like other angiosperms. Their 'flowers' are just a little bit different from the norm.

I wouldn't spray it with bug spray (could damage the plant) or re-pot it. I would make sure it HAD bugs before doing anything. If it does, your better off using something like a spray Insecticidal Soap.If there are leaves that juts don't look good to you, you can just take them off(stem too) Your peace lily probably just needs some time to adjust to it's new surroundings. You might lose a few leaves from the light change if it came from a brighter environment and higher humidity. If the ends are not perfect, it could be from hard-water use/low humidity but I don;t think of it as to big a problem. A few of the tips are like that on mine but most are green. Give your plant bright indirect light but not direct sun unless it's a little morning or dapple. If the soil is too wet (for too long) or it's gotten too dry, the leaves will droop. As long as there is about an inch or two between the plant and inside wall of the pot, it's the right size. Water it well when top inch feels near, or close to dry. You want semi moist soil, not dry, not soaking wet. I water mine almost always once a week in the warmer months, sometimes less in winter, depending on how the soil feels. Billy Rae

As with any time there is moisture around, we can expect what insects thrive in it. Fungus gnats live on the decaying matter that is always present in soil. AS moisture levels increase, the composting of miniscule bits of matter is then why we see an increased number of those pests that live on it. Hence the advice always is to try to let the plant dry out a bit longer; don't water as per a schedule, but test the plant's moistness before watering. With watering, we encounter drainage....and if such drainage water is not got rid of promptly, such water is then drawn back up to increase the moisture level. Generally, the plant that we think needs water, can be allowed to another day, or two, or three before it actually needs watering. This is one method of reducing the number of gnats. Misting will also often reduce the numbers of pests that attack our houseplants. It can, for a time, do instead of watering. We might also take a look at how much light the plant needs and how the sunlight might be contributing to its needing water so much. The surface dries out, the roots though are well moisturized...and we water; thus increasing the amount of water sitting around the roots. Sometimes, we don't water to drainage, we assume the plant doesn't really need it, so we water in dribs and drabs...hoping some of it reaches the depths. Sometimes its not gnats, but pesky insects such as thrips or whiteflies which are barely visible to the naked eye. For these definite methods of control is employed. Anytime you see a pest or damage from what is believed to be a pest, its a good idea to isolate the plant from each other. Spider mites, for instance, spread like wildfire from one plant to its neighbor and if not caught early, can cause a lot of damage that maybe ends up killing the plant. If you can see them, then use a hand vac, if you cant see them but suspect they're in the soil; do a leaching, immerse the plant totally in water letting the water saturate the plant fully, letting the bubbles stop before assuming the plant is wholly inundated. Then as the bugs surface---they have to breathe---we scoop them out and treat the watering as a normal water period and let the plant fully drain. The leaching method though is recommended to be done only once or twice a year, fully saturating the soil is not recommended to do as a way to control bugs.

be careful with dish soap.. many are actually detergents .. which isnt good for plant tissue ... that said.. one tsp in a quart of water should avoid that issue ... often.. the black dots are poop ... and not the bug.. hence.. it doesnt move .... if you take one and wet and smear it .. yeah.. i know.. yuck.. its often actually green ... but then you are looking for a bug big enough to produce such ... oh hell.. just throw it out.. lol .... btw.. with all you have already done.. how do you know you havent already solved the problem??? and the leaf damage is just now showing??? ken ps: in line with the story above.. did you know licorice dots arent really black.. they are green ... lol ... IF i recall properly .... and thats always questionable this early in the morning ... lol .. https://duckduckgo.com/?q=black+licorice+dots+candy&t=ffcm&iar=images&iax=images&ia=images