After two weeks of trying to stay connected to the PSN on my college campus (wired connection) I have finally solved the issue. I don't know how many people are having this problem but it was a rather silly fix.
All I did was go to the PS4 internet browser, logged into my University, and bamo PSN let me log in finally with no problem. (I sat there and unplugged the ethernet cord probably about 10 times to see if it would keep working and it was an amazing site) I can't believe that was the problem. I never had to do that with my PS3, so this was quite odd. Simple yes, but its just one of those things that didn't come to mind.