Got An Unknown Problem

[K4L4M1TY]

Hey guys, we just moved an 89 GT-R to a new address today and while taking it out the driveway backwards it seemed to lock the wheels up. Three of us could not push the car, it felt like it was in gear adn would lock up after half a rotation or there abouts. It then had to be dragged basically up onto the trailer leaving some nice rubber on the drive. When we got it off the truck I jacked it up and the fronts were the problem seeming like the brakes where locking but in ABS style almost. The front and rear wheels were swapped around to check clearance for a wider rims but its only got an 18x8 with 255 on the front now im sure, the tyre i am at least.

It's a pain to push so anyone know what this is and could lend some knowledge?

[Moodles2]

Does the front diff have fluid?

[K4L4M1TY]

Yeah have only drained oil and coolant from what i've seen.