TEMPERATURE AND GAS GAUGE NOT WORKING-HELP

Here's another vote for RT Engineering's electronic instrument voltage regulator if that turns out to be the problem. The page about how to install it on cars (like the '63 Valiant) that have the IVR built into the fuel gauge is a little hidden; it's here.

However, given that your temp gauge pegs and your fuel gauge doesn't, that suggests the problem is elsewhere: a short to ground somewhere along the wire that runs from the sender (at the top-front of the head) to the gauge.