Re: Apple Music Windows not allowing me to Sign In
Seems verification fails when you try to log-in to Apple Music on the PC (after deleting PC's from iPhone):
You may want to try logging in to your online Apple Account on the PC. ie: https://account.apple.com/
You can likely get a verification code from the iPhone, to enter from the PC (so Apple can now "trust" the PC).
See how to: Get a verification code and sign in with two-factor authentication - Apple Support
Please Note: It may take some time for the change to come into effect, (restarting can sometimes help).
Trouble-shooting if needed: If you have problems using the iTunes Store on PC - Apple Support
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Re: "I deleted all PCs on my phone to try to authorize, and I get the same sign in failed pop-up when i try to authorize"
Once PC is ok for signing in to your Apple Account, you may want to try again:
With the Apple Music app open:
Click "Sign in" at the bottom of the sidebar
Sign in to your Apple Account
Then Apple support's online article (link below) may be helpful:
Authorize a PC to play iTunes purchases - Apple Support
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Re: I don't want to have to buy a mac just to use Apple Music.
Note: If you want, (or if need be) you can likely use Apple Music on the Internet:
Apple Music User Guide for music.apple.com - Apple Support
iTunes User Guide for PC - Apple Support
Apple's Music Support website: (info. / support / contact options etc.)
Music - Official Apple Support