My 96 Ford explorer 5.0 all wheel drive xlt my brake lights are stuck on untill I pull the big fuse under the hood

SOURCE: 1996 ford explorer license plate fuse

I'm not to sure what one you did want license plate light or the tag light up high above your back door. I know I am reading license plate so I will say the fuse needs to be replaced. plate lamps need 2 light bulbs and the fuse box is under the steering wheel or under the hood there are 2.
in my book it said that it is a (194 trade number), I woulds change out bulbs and then fuse.

SOURCE: Ford explorer stuck in low 4wheel drive

put it back into 2 wheel drive, then reverse 10 or 15 feet, this should unlock the hubs.

SOURCE: How to remove disc brake rotor on a 1992 Ford Explorer 4-wheel drive

It should just pull off once you have taken the caliper off. It may be seized in place, if thats the case try spraying the back of it with some sort of penetrating oil, let it sit for a bit. THen put some heat on it if you have torches, or beat it with a hammer. Sounds kind of crude...but it works

SOURCE: 02 Ford Explorer XLT 4x4 High light flashes and

I had same problem on my 2002 explorer. Its either the computer module, or the electric solenoid on the transfer case. In my case it was both. The computer module I had done twice in 14 months.

SOURCE: 1996 Ford Explorer XLT abs light comes on on

The ABS light is for the Anti-lock Braking System. The MIL will illuminate if there is a difference in wheel speed sensors signals to the PCM. So you might have a wheel speed sensor that is going out on you. Does the light come on at low speeds, or just higway speeds? You could take the vehicle to a local parts store and have them pull the codes for you and that will tell you which speed sensor is out of whack. Also road grime, dirt and gunk buildup can cause speed sensors to give false readings. Hope tihs helps you out.......