RE: esc behaving strange
OK, so you have a different Tx/Rx than what is stock. That shouldn't matter. Is the ESC stock? That is, whatever came with the truck originally and is described in your manual. It's the ESC that needs calibrating, mate. Not the Tx/Rx.
If the ESC doesn't have some kind of setup button, then there should be some sort of special sequence that puts the ESC in Cal mode. That should be described in the truck's manual. Something like: Turn on Tx and pull full throttle,THEN turn on ESC. ESC should blink or beep some signal. Then give Tx Full Reverse and hold. Transmitter beeps or flashes another signal. Etc.
As for binding the Tx/Rx, you'd have to look up that procedure by the brand of the Tx/Rx.