Just now finally got ahold of one of my servers admins and he made a suggestion that just blew my mind, and made me feel retarded all at the same time.
So, apparently, in the top left of the Technic Launcher, is a large title window that is actually a dropdown menu. I thought it was just a jpg title picture or something. Anyway, if you click on that dropdown menu, scroll down, and select Tekkit. Then try to log into your server, it should download a short update and then should work fine. It worked for me.