Have you tried running the new card on it`s own, just to make sure it is running properly.
Im not convinced your PSU is the fault here.
I have a socket2011 i7 3930K clocked at 4.7Ghz with a pair of R9 280X (7970 Ghz editions renamed) and it pulls from the wall around 700w playing Crysis3.
I doubt your system will be anywhere near that.