Yes, you can use any paper that is easy to handle (printer paper, construction paper, etc.). But make sure that the paper is a square and has equal sides (unless the project calls for a different shape).
If you don't want to tell the truth, at least tell the same lie to everyone. Keep your lies non-specific. Say "I went out", rather than "I went to watch...
You can use coconut or olive oil instead of petroleum jelly to help heal your wound. Just make sure it is a freshly-opened bottle to decrease the risk of infection...