Additional plumbing commands

I am writing some higher level git commands for https://github.com/Originate/git-town and would like some additional plumbing commands that can tell me

1. is there a merge in progress?
2. is there a rebase in progress?
3. is there a cherry-pick in progress?
4. are there unmerged paths?

Currently the only way I know how to do this is with "git status" and looking for specific text.

Thanks for any and all comments.

~Charlie