Taillights and license plate lights not working

fuses blow because of dead shorts or excess current draw
to blow a 15 amp fuse indicates a dead short
by disconnecting the rear lights , the problem is in something else you have replaced
could be a problem in the head light wiring

The dash lights should be on a different fuse from the parking lights.
You'll have to figure out which circuit, then check the lamp sockets and wiring for a short to ground.

You have a short to ground on that circuit .

I dont think the fuse would blow, I would change the bulbs

Remove all bulbs on the tail lights and license plate circuit.
Replace fuse, turn on parking lamps- check if fuse blows without any lamps connected.
If it does, check for short circuit to ground on the taillight/license plate wiring.

If it doesn't blow, re-install one lamp at a time until all lights work. you may have a faulty lamp or lampsocket.

There is a ground not connected or a wire open that is causing it to blow

I KNOW YOU HAVE AN ELECTRICAL SHORT.WAS AN ALARM INSTALLED OR ANY OTHER TYPE OF ACCESSORY? CHECK WITH DODGE TO FIND OUT ABOUT A RECALL.IF SOMETHING WAS INSTALLED, TAKE IT BACK THERE TO STRAIGHTEN IT OUT IF NOT HAVE A AUTO TECHNICIAN CHECK IT FOR YOU.

disconnect head lights, and replace fuse. Then turn the light back on to see if it blow a fuse again. if not, plug on light in at a time. You might have a bad headlight???? then unplug that one if nothing happens. Then plug the other one in. It could also be a bad taillight bulb. I have had bad tail light bulbs. Do all of them, one at a time.

try a stronger fuse