From the pictures, it looks like someone has switched out ALL of your Hardware with an Earlier Model Top.
The Side Windows "wing" out and their should be a clip like the tailgate has, so the sides will "click" into place.
The Rear Window has a fiberglass rod and pushes into the clips, clipping into place too. That looks correct for the Early Model.
You're first pictures of the poor fit, I think is because you don't have the rear corners on correctly.
Try this, Unhook your front header panel, above the visors, and flip it open. Now try to hook the rear corners. They kinda pull down, then slide up into place. You should have a molded plastic corner on that top. It's a bit curved too, it will sit in the corner just right. Then Latch the front back down. See if things fit better?
If they do, I believe your Rig is Complete for the Early Model Top, '88 - '94. You can get those New with Tinted Windows on Ebay for $159 shipped. I've had a couple on different rigs, I think they fit great!
Do those things and come back. I'll help you more after we see how this goes.
As for the bar/hoop you mentioned, that's for the Newer Models, which you have, but again, someone had swapped out the hardware, so you don't need it now with the set up you are showing.