Nothing wrong there, it gives you a better grip when yanking out the cable. Added bonus is your hand will get an automatic gripping function too.

Nice socks.

Shango says it's fine. He's seen much worse.

Just scrape off the bits and put some duct tape around it. Good to go.

Nah. It'll be fine.

Yeah those vintage electric coin purses often need their power cords replaced. It's so hard to find one that still works safely these days. The cordless ones are okay, but AC line powered is the best for keeping your coins properly charged up.