Kitchen scraps (vegetable waste, egg shells etc) would be a good addition to your compost pile, as well as paper and cardboard if you haven't got those already.
Some leaves are OK but they tend to compost more slowly, finding a good balance between everything will yield you the best result :) I hope I could be of help, I wish you luck!
Oh yeah, all that goes in too. There's a lot of stuff in there lol it smells great, so I'm guessing it's working well.
Haha! Sounds excellent, it's definitely doing the right thing.