Untethered 4.3.3 Jailbreak through redsn0w 0.9.6rc16 and pwnagetool 126.96.36.199 proved to fix battery drain issues as well as the silent button vibration issue.
Process Priority was not restored after the kernel exploit. That might have caused some battery drain.
Download redsn0w 0.9.6rc16 for mac from here
Download redsn0w 0.9.6rc16 for windows from here
Download pwnagetool 188.8.131.52 for mac here