My Minecraft is stuck on Connecting to Server?

I'm completely up to date and all with minecraft, including the new launcher. But for simplicity sake, I saved the old launcher to use, if I ever wanted to play my 1.5.1 bukkit server again, and I did. One evening, I booted up 1.5.1, and my bukkit, and everything worked fine. The next day, the dev launcher updated to 11.7.3/1.7.4, and so, I migrated my minecraft account, for the twitch compatibility. Later that day, I went to play on my bukkit server, and the server works fine, I have full connection, but when I click "Join this server" my game just gets stuck reading "Connecting to server". I click cancel, and try again, but it STILL doesn't work. I've dealt with this problem for a little over a week now, and I'm getting very irritated. I'm beginning to wonder if it has to do with my account migration, because, friends and family can connect just fine, and they are either using a cracked launcher, or HAVEN'T migrated their account. I would greatly appreciate any help I can get (preferably trying to avoid deleting EVERYTHING in my minecraft 1.5.1). Also, I'm running my bukkit through hamachi, which has never caused a problem before, thanks in advance!

Added (1). ***EDIT*** My account DOES work on other cpu's just not this one, again thanks in advance!

Added (2). @Armadil: I appreciate the idea, but I and tried that, and it didn't work. Thanks again for the idea, it's not gone unnoticed. Any other ideas, anyone?

Try connecting without hamachi and using the IP address as "localhost" or "127.0.0.1"