Bitbucket does not have that much reporting besides the diffs and your pull requests, but since it is based on Git you can use Git commands to get the information you are looking for in your first question. Have a look at Advanced Git Log and you can also use Git diff to get statistics between two branches/commits
git diff --stat <commit or branch> <commit or branch>
Regarding your second question, what are you looking for? Git does not have the concept of checked out/checked in code.
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