The good news is any phone repair shop will be able to replace your battery for a reasonable price. Same with the screen but obviously that is a lot more expensive. My pixel 3 and pixel 1 hasn't shown any ghosting in the screen yet but I don't think I use apps with persistent UI often. Word of advice is use gesture navigation instead of the 3 buttons because the 3 buttons will burn in.

My SO watches a lot of YouTube so his 3a had burn in where the video usually is (like the top 1/3 of the device).