I'm very accident prone and therefore have learned a fair amount of tricks for healing myself. They might not be magical over night fixes but they seem to help.
For cuts, broken, or even dry skin try vitamin E capsules. Available at most grocery and drug stores. Puncture the capsule and put the oily contents on the desired area. Try to do so multiple times a day. Also effective for chapped lips.
For bruises and swelling try Arnica gel and or pills. I know the gel is sold at Walmart, that may or may not be helpful for you depending on where you are. The sooner you apply it the better. I bruise very very easily and I've applied it immediately after bumping into something I know for certain would give me a nasty bruise and it barely bruised at all. Also helps with pain.
For cuts, bruises, pain, swelling, and especially burns aloe is a lifesaver. If you can get a plant and use the fresh leaves it's the best. Simply cut the leaf open and apply the gooy flesh to the desired area. It might be a little gross but it works.
I hope this helps, please let me know what you think!