Yes your daughter sounds like a bully, the question I have for you is what are the consequences for her actions?

After you told her you had to leave your bedroom why did it take 4 stories? If your letting your 2 year old rule the roost now you will be seriously in for it as she gets older.

The 2.5 year old sounds like she needs some boundaries as well, taking toys should not be allowed either. How do you encourage them to play together?