Could be she is trying to get more attention, you say little ones, so it is possible she is feeling some jealous and left out.Perhaps give her some one to one time, ask her Dad to help playing games and having fun , weather permitting, outside walks and activities, why does she get suspended form school did the teacher say what she was doing ?
Has she been tested for ADHD?
Yes, ADHD testing sounds like a good idea.
If you could elaborate about more of the problem behavior, that would be helpful. thanks