There’s a decent chance your public IP, even though not technically static, doesn’t change all that often. Depends on your ISP, but I’ve only had my public IP change unexpectedly once over ~5 years of self-hosting and that was after a 24-hour power outage.

Yes! With a few plugins, of course. YouCompleteMe and fzf.vim are my favorites by far. I spend a lot of time on embedded Linux devices at work, so it’s pretty convenient to use the same editor on my laptop and on the target device.