Front turning signals work rear don't what's the fix on that?

check the fuses.

Bad fuse, bad bulbs, bad wire, bad ground. Start there.

Brake and rear turning signal don't work

2005 Ford Explorer brake and turning signals don't work how too fix?

>Merged<

As noted, you start by checking the basics.
Fuses
Bulbs
Then trace wire

No "one" thing, it could be several things

Considering it is an explorer do you have a tow package on the truck? It may be that the wiring to it is messed up.

Can Be in Combination Switch(Signal Head), Brakes and Tail run through it, front doesn't