Not getting the full output from pins

[HankMcSpank]

Well in your situation, I'd still be inclined to either desolder one side of the relay coil, cut the track feeding it etc (or if your 1827 is SOIC package, consider lifting the pin off the PCB with a scalpel while reflowing the pin with a soldering iron) ...just to prove you are getting 3V out of the particular pin (which pin is it by the way?) ....what's the DC resistance of the coil? Assuming it's spec'ed for 3V supply, then for @16.8mA it should be about 178Ω ? (if you've 1.8V being dropped across it, you can easily confirm the current flowing through the coil - which might be higher than your anticipated 16.8mA). If the DC resistance of the coil is any lower than 120Ω ...then the PIC @3V will likely baulk.