Installed a new radio now I don't have inside dash lights

looks like you use the wire for dome light to power the memory wire from the radio remuve the memory wire and intall from the fuse box and replace the blow fuse

Toyota has a very bizarre methodology making there gauges and dash lights operate, you should take all this apart and just replace the switch. there is a measure of resistance in the switch itself that reduces the current to "nominal" so it keeps the wire from overheating from over draw.

installed new radio n now my dash lights stay on even when key isnt in the ignition.

Could be a wire behind the radio. I had a Camaro that had no dash lights after an aftermarket radio was installed. Almost never found the problem. And the company that installed the radio would not admit to causing the problem....even though I had a detailed description of the problem from the tech that fixed it. Wish I had better news for you.

Where did you get the harness?

Most likely it would be the tank sender unit,but it could also be the dash gauge and or possible wiring. When u turn off the key , does the gauge go to a different position ? If so, then probably the tank sender, if not then the dash gage.

i would try checking my ground cables.try looking up the codes.this can be done for free at the local autozone or someplace like them.
i would also check the alternator/voltage regulator and there grounds.

Definitely you can save by buying used. Check for local auto dismantlers in your area. Be sure to ask them what kind of mileage the car had on it when they pulled the tranny. Also replace filter and pan gasket while it's out.

sounds like two problems. the front turn signals operate through the drl module. It's behind the radio. if you cut and splice the dk. blue to dk. blue w/ white, lt. blue to lt. blue w/ white on the black connector it will bypass the drl but all other functions will work. some say to disconnect the blue connector to bypass however this will discontinue other features, e-brake indicator, rear hatch button, ect. As for the rear light, i would check the rear lamp harness connector behind the interior plastic drivers side for power on the right signal feed and the splice ground.

havent a clue without looking at it but this is one of them things best left alone as i have had similar before where it runs through radio,including the alarm and the factory immobiliser cut in.just loop from another circuit to make the lights work