Several of the problems point to hardware issues. I'd run hardware diagnostics [ however you do that 😉 ] or take it to an apple store for evaluation. You may want to make a genius bar appointment. Genius Bar Reservation and Apple Support Options - Apple
unexpected shutdown or restart, application errors These could be software configuration issues.
Download etrecheck. Click on the download link at the bottom of the screen.
http://etrecheck.com/
Run etrecheck. Post complete output.
click on the export icon. click on "Copy Report". Paste into your ASC Reply
Using EtreCheck by etresoft, the author
https://discussions.apple.com/docs/DOC-11591
Stamp of approval
https://discussions.apple.com/docs/DOC-8181