Aah, sadly the tab in freeze isn't something I can fix, this is on Game Maker's side, I can only wait. Thankfully there is a temporary fix shared in the README if it does trigger, pressing F6 will toggle fullscreen on/off, which should fix the freeze!
I've never heard of something like that happening with the cursor... Is there any chance this could have been because of a hitstun after destroying a Shape maybe? Would you happen to have a video of it?