Hello new2PIC,
From your original drawing I would want to suspect that the transistor has gone 'caput'!
I gather that the PIC switches the relay ON and OFF repeatedly. It only takes a few of these without the spark protection diode across the relay coil to damage the transistor. The weak clicking of the relay may be caused by this. Suggest you check the transistor before going further. I have recently used a 12V relay in a similar circuit (with the diode correctly placed of course) being driven by an output pin from a 16f84 PIC with 9V to the transistor, 2n2222, and it works fine.
Never, never, use a bipolar transistor to operate a relay coil (or any inductive load) without the spark quench diode. The back e.m.f will very quickly kill the transistor. The relay coil could be put in the emitter line from the transistor, in which case you connect the diode cathode to the collector and the anode to ground (for NPN), the other way for PNP.
Good Luck
Trini