Badge holes. I take it these are in metal panels? Weld over the holes then grind them back, skim with filler and block flat.
Is the bumper plastic or fibreglass? If it's plastinc then you should have it plastic welded back together. Then sand back any excess material with a d/a sander. Next thing to do is to key up the plastic with an angle grinder or some 40 grit on the d/a. Skim over with some fibreglass if the damage is quite substantial. Then sand back the excess fibreglass paste when it has dried with your d/a again. Skim with some filler and block it all flat.
The does the black stripe in the rear bumper pull out? If it does rip it off, you don't need it... Sand off any paint from the bumper around where the black stripe is. Then using and angle grinder key up the surface of the plastic so it's all furry and got some decent gouges in it all the way along where the black stripe is. Next step is to mix up a lot of fibreglass paste, you need to do the whole bumper in one go! Skim it over the recess and make sure it's nice and even, you need a bit of overspill too so you aren't just in the recess where the black stripe used to be. When the paste has dried, sand back the excess material with a d/a sander. Then skim over with some filler, again, put a lot on so you get a good shape, then block back. You will probably need to skim it a few times before you get it right, the last bumper I did took me ages to get perfect. I'll sind some pics for you which should help....