You want a patio. Anything else? You need to start with a base plan. It would show, to scale, all of the permanent features of the back yard: house footprint, drive, porch, tree trunks, lot line, any permanent buildings, etc. Don't show the trampoline unless it is PERMANENT for that exact spot. Also, indicate where the hill is and describe it's slope. (X' of rise per X' of run.)

so you want a deck that allows space to the window wells. (I don't know what code is for that in your state, so you'd have to check). These show ideas for decks that still allow light and egress from the window. I would advise you to do a composite decking. real wood may be cheaper, but it will need constant protection from weather and UV rays, which means painting or staining every year or two. along w/these decks, an arbor or patio cover would also be nice. and you could combine the decking material w/a hardscape depending on if you're building right on the dirt, or you want the deck up off the ground. combo of both would be nice be prepared to spend a good sum. getting all of this built isn't cheap. what you need is a patio/landscape designer to come out to your house and draw up something for you. I don't know what the big deal is worrying about the virus. everyone will be outside and has plenty of room.

It's always hard to get a read on slopes from just pictures, but here it seems pretty obvious. The water is flowing along both sides of your house to the back corner of your property, and carrying down between the neighbors to the lower street elevation in front of their houses. You just need to form your grade to allow that to continue as it wants to go naturally. As far as your patio, it is lower than the grade. You need to dig down the adjacent area next to the plastic edging, under the trampoline, and probably remove the buried concrete "curb." Slope however needed alongside the wall of house towards the corner instead of towards under the trampoline. It would be good to do a test dig behind one of the concrete walls to see if there is a drain tile at the bottom, I'm guessing there is not. A french drain in RED would need to be at the bottom of the wall and run to daylight. Create a small swale in GREEN and direction of water in BLUE. Verify your neighbor's in PURPLE is not coming in to your yard.

Search on Houzz for "lap pool" in Photos and you will get some ideas. Here are a few from a 60 sec search. Get a good pool builder who is creative and has the software to show a design in real time.