Water damage is tricky. It can work for now, but eventually things could get brittle due to corrosion. I’d take it somewhere to get the excess cleared off the logic board. It shouldn’t be very expensive if everything is working as of now. Make sure to find a reputable repair shop for this though.
Hmm if you changed your screen, did you replace the plate over the battery? Open it up and disconnect and reconnect it. Maybe it just jostled apart during the fall. Try that, and let me know how it goes :)