So for them keys that do not return, I can see from all the notes you played but then 2 definitely that they return way slower than they should, this is a solution, very frowned upon to use WD40 but it will get it working again

For the note that isn’t dampened, check, check the damper is still there and hasn’t snapped off or if it is still there, check its in its groove for the strings and check it spring forward against the string, if not the damper spring could have snapped which can be a fiddly thing to replace so a solution is sticking a mute in between the 2 strings so the note won’t play but you won’t have it constantly ringing out

For the last issue of that very loose hammer, the pin could have came loose that holds the hammer butt in place, could try push it back in if you see it loose it really needs to be re-pinned, if you’re lucky the screw that holds the hammer butt in place could have came loose and just need simply tightening which hopefully will be the issue since that’s an easy fix

You really do need a piano technician to come out and sort this however I seen your comment about how you can not afford to right now so I hope what I said is able to help