When you click on links to various merchants on this site and make a purchase, this can result in this site earning a commission. Affiliate programs and affiliations include, but are not limited to, the eBay Partner Network.
That's the impact bumper. It is held on with four nuts on each side, but the captured bolts on the body usually break and you have to replace them with carriage bolts.
That is your rear bumper impact bar. You will have to remove the rear bumper cover to get at it and see how bad the rust out is. Mine was rusted out so I had to get a donor part from another car. It is a very heavy part and is bolted to the car frame on each end by 4 bolts on each side. The bolts are actually retained by the impact bar by special washers so you can slide them into the frame rail holes. The impact bar bolts have nuts on them that you will find underneath behind the panel they bolt into. On mine, I had to cut apart the impact bar to get at the bolts to cut them off due to the really bad rust. There may be shims behind the impact bar on each side when you remove it.
I just finished putting mine back on the car after restoration. I can take pictures for you later this morning as I haven't put my bumper cover back on yet. I also have the manual that shows how to take the measurements to determine if rear shims are needed when you replace it. Don't lose your shims if you have them already. If you don't have any now, you may not need them. I got my donor bar from All American Classics in Vancouver, Washington. You can order from them and they will pull one and ship it to you. It is the only place that I know of that has any thirdgen donor cars and they have many.
These are pictures of the donor part that I got. I had to remove the black crush plastic by drilling out the rivets to have the bar sandblasted and powder coated. I put the crush plastic back on using stainless steel machine screws with nylon locking nuts. Kind of a pain but can be done.
Here is a picture of the mounting bolts. They are a set of 4 on each side in a square formation. Notice the special washers. They "lock" the carriage bolts in place so the heads don't turn when you tighten or loosen the nuts. Mine were rusted and broke so the bolts just spun. That is why I had to cut mine off. I had to cut the bar apart to get at the bolts. I was able to get new washers.