I know quite a bit about ghosts and spirits, and to me, it sounds like you're describing one.
People sense spirits in many different ways. Sometimes a strange cold or warmth, the hair standing up on your arms, phantom touches, tingling, the feeling of being watched or that you aren't alone.
Things like doors opening and closing, things going missing or moving, things breaking or falling, footsteps, shadows, etc are stronger signs, and you said doors open and things break a lot.
If there is a spirit in your home, you should try to figure out if is a good one or a bad one, if its one you'll want around you. Some ghosts can be completely harmless, but others can be dangerous. If the spirit is causing a lot of trouble, maybe you should banish it.
If you need help with anything feel free to message me, I've dealt with quite a few ghosts and would be happy to help