apt - Ubuntu 16.10 Yakketty won't update. Can I fix it, or should I get 16.04, or 17.10?

So I had a beautiful system running real nice up until I wanted to set up an old webcam last night. I did sudo apt-get update and got this:

Fetched 1,475 B in 3min 25s (7 B/s)
Reading package lists... Done
W: The repository 'http://security.ubuntu.com/ubuntu yakkety-security Release' does not have a Release file.
N: Data from such a repository can't be authenticated and is therefore potentially dangerous to use.
N: See apt-secure(8) manpage for repository creation and user configuration details.
W: The repository 'http://ca.archive.ubuntu.com/ubuntu yakkety Release' does not have a Release file.
N: Data from such a repository can't be authenticated and is therefore potentially dangerous to use.
N: See apt-secure(8) manpage for repository creation and user configuration details.

W: GPG error: http://download.opensuse.org/repositories/home:/jgeboski/xUbuntu_16.10  Release: The following signatures couldn't be verified because the public key is not available: NO_PUBKEY 12C6ADA61C85BB5E
W: The repository 'http://download.opensuse.org/repositories/home:/jgeboski/xUbuntu_16.10  Release' is not signed.
N: Data from such a repository can't be authenticated and is therefore potentially dangerous to use.
N: See apt-secure(8) manpage for repository creation and user configuration details.
W: The repository 'http://ca.archive.ubuntu.com/ubuntu yakkety-updates Release' does not have a Release file.
N: Data from such a repository can't be authenticated and is therefore potentially dangerous to use.
N: See apt-secure(8) manpage for repository creation and user configuration details.
W: The repository 'http://ca.archive.ubuntu.com/ubuntu yakkety-backports Release' does not have a Release file.
N: Data from such a repository can't be authenticated and is therefore potentially dangerous to use.
N: See apt-secure(8) manpage for repository creation and user configuration details.

W: The repository 'http://ppa.launchpad.net/eugenesan/ppa/ubuntu yakkety Release' does not have a Release file.
N: Data from such a repository can't be authenticated and is therefore potentially dangerous to use.

And sudo apt-get install for anything yields

E: Package 'program' has no installation candidate

I suspect that I'm having this issue because I'm using Ubuntu 16.10. If not, I'd like to know how to fix it, because I really like my system the way it is. Otherwise, I'd consider installing 16.04 or 17.10, but I'd also like to know which one is better, and if there is a way to install without losing all my programs and stuff. Some of them were pretty frustrating to install, and I really need them.

Thanks!