Hmmm. Hard to say. Does the 12V outlet still work? Try swapping the A/C relay for another one in your fuse box. Maybe the new relay you bought is flaky. Make sure all fuses are pushed 'down' too.
It wouldn't hurt to run to a parts store (Autozon/OReilly, etc) and get a free battery load test performed. Have them do an alternator output test too.
If both are good and none of the above stuff works, before you call it a day you might consider unhooking the battery cables, clean the terminals on both ends. Leave the cables unhooked for a couple hours (I would personally tie the [unhooked] cable ends together and leave overnight), charge the batt in that time if it needs it. Then hook everything back up in the AM in the off-chance it resets things. It might not, but if it does, it was an easy fix. If it doesn't, you also learned something and it didn't cost you anything but a little time while you were sleeping.
Have you done a general Google Search on your issue?
