Wow, that's news to me. I did not realise that Toyota still made the B engine in 1984. It must be a Central American market rig or something, yes? Odd, as it has a Candian roof, so I would guess that it was Canadian and thus had a 3B engine; making it a BJ42.
At any rate, your rig is not an LX, so it will be very easy for you to remove the roof. Simply take all of the 10mm bolts off around the back where the top bolts on to the tub below the side windows, remove the rear doors (by removing the phillips head screws which hold them to the top and tub), take the two bolts which are on the outside above the windscreen out, remove the 14mm nuts and two phillips screws which hold the 'L' bracket to the windscreen on the interior and remove the phillips head screws on the outside of the top just below the raingutter.
Finally, make certain that you have disconnected the wire which goes to the dome light and to the right rear door licence plate lights. Now lift the top a bit at a time from inside to be certain that you have loosened the rubber gasket. If it sticks too much, look around for a bolt which you might have missed.
Once you have freed the whole top, open the spare tire carrier, get at least two people (one on each side) and lift the top high enough to get the posts from the top out of the tub (about 9"). Walk the top backwards, and set it gently on the ground. Done.
For the front doors, I prefer taking the hinge pins out to unbolting them. (If you were in Australia, you would not have to worry about this part, as it is illegal to remove your doors in the land of Big Brother.)
Nice looking truck!
Cheers,
Josh