Door trim coming off?
It looks like the jamb is pulling away from the jamb extension at the top of the door.
I don't think this is water related.  You have a decent overhang and you have a metal jamb flashing header.
If I had to guess I'd say your jamb wasn't secured at the top and someone kicked/bumped/rammed it and the jamb was pushed inside displacing the interior trim and detaching from the weakly attached jamb extension.