MacBook won't connect to Apple TV through Airplay

1 Month in still nothing works. With all the suggestions that have been made, and believe me I have tried them all, nothing solves this issue.

My issue: MacBook won’t connect to Apple TV. Tells me to enter code every time I want to connect. Every time it says its unable to connect to Apple TV.

My hardware:

MacBook Pro 13"Version:macOS 10.12.3 Apple TV 4 Version:tvOS 10.1.1

What I have tried:

-Signing out then back in iTunes. This I tried a handful of times, lost count. Seems like a simple solution and tried it on my MacBook and Apple TV. It didn’t work.

-Hard reset of MacBook Pro. After researching the problem further, I found this suggestion a lot. Powering down and holding down a segment of keys. I followed the instructions closely and it worked just like it was supposed to but it had no effect with Airplay.

-Factory reset of Apple TV. I tried this option several times, a lot with signing out of iTunes on my MacBook. Even after receiving an update for the Apple TV it didn’t work. I was hoping that would solve it.

-Rebooting modem/router. I have both, at first I just turned off the router thinking it would solve it, then realizing it probably needed to come from the source the modem. I even unplugged the cable. No result.

-Disabling Firewall. I saw this suggestion a lot, I don’t think this is a very smart way to solve this issue, but I tried it all the same, didn’t work.

-Reinstalling macOS Sierra. I really didn’t want to do this, it’s a huge hassle and takes a while. But I at this point I’m willing to try whatever. Doing this a long with a factory reset of the Apple TV I thought for sure would solve the issue, but it did absolutely nothing. Same problem.

-Adding new user/creating one. I tried a family members ID and that didn’t help. I didn’t really want to create a new ID but I tried anyway. Neither one worked. Now I just want to delete the account.

-Keychain. I don’t really understand how Keychain is tied to Airplay, but I tried everything that was suggested. At first deleting the items in the keychain folder User/Library/Keychain. I dragged it to my desktop then deleted it. No result. I also deleted the Keychain through my iCloud. This was huge mistake, I am now having to reset a lot of passwords because I can’t remember them. It seems to me that Keychain only causes problems rather than help the user, I have been having issues with Keychain for a long time. But that a subject for another day.

-Contacting Apple Customer Service. I thought for sure they would be able to help me with this, but the only wanted me to go through things I had already tried. I even spoke to a “Apple TV expert”. After an hour of talking he couldn’t help me.

I don’t know guys, I’m just really frustrated with this whole issue. This is an isolated issue, I have 3 Apple TV’s they will connect to my other 2, but this one will not connect. It’s taken a lot of my time just trying to figure this out and it’s gotten me nowhere. I’m open to suggestions, but at this point I’m thinking it must be a hardware issue. Any thoughts?