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Can you try bypassing the PIC and connect the TX from the Bluetooth module directly to the PC com port?

Are you sending somthing from the PC and the random numbers are the echo?

The easy way to figure the USART settings is to use Mister E's PicMultiCalc
http://www.picbasic.co.uk/forum/showthread.php?t=4994

It gives


RCSTA = $90 ' Enable serial port & continuous...

I do not know for sure but to have a PIC communicate with a PC and using hardware serial the inverter chip is needed.

I would think that any data passing through the BT module is inverted. As a...

I have not used an EGBC-04, but looking at the data sheet I will ask...

Did you set the EGBC-04 for the baud rate you are using? I think it defaults to 9600.
Did you set it as SLAVE? I think...