I have 1 day to finish all those repairs before a new person moves in. Is there any way I could fix them fast and reliably? The first one is a hole in a dry wall and the last one is a door which is not that solid (a kick or two and you have such cracks). I was considering using a mash tape and white paint for the wall holes, but not sure how good that idea is given that I have no experience. As for the door, I am really lost.
On the wall you need to cut out the entire square of drywall out, mud and tape it, sand it, paint it. With fast drying mud and a fan you can do this in 6 hours easy and maybe 30-45 mins of actual work.
For a door the only thing you can do is try to Bondo it but it should be replaced. If you are leaving the place they might charge you for the door even if you fix it. If you are renting it out the Bondo should be OK.