I am just a fellow user, but sorry to hear you are having these issues.
I can answer one of your queries, or at least share links to reports of same behaviour, and Cursor team’s response, regarding access to other apps:
In regard to your other issue, I read you restarted Cursor several times, but I wonder if signing out of your account in Cursor and signing back in again, could ‘reset’ something back to the way it should be?