Being a luthier I work with wood all day. I used to sell Deco furniture and fixed this stuff all the time. I think trying to delaminate a speaker cab with an iron is a big can of worms. The heat can separate the plys beneath. Then you are in hell. They never come off as well as you'd like.
With laminate chips You can square off the laminate and patch with a slightly thicker laminate of similar type and grain. Patch it as best you can, sand flat with a flat sanding block, and touch up the new piece's finish with something from your hardware store that looks close.
If you like you could laminate an entirely new cover over the edge to edge surface. Remember that you need to make a clamping caul the entire surface area to be glued so even presure will be applied edge to edge. I usually use plywood with a plexiglass laminate to keep it flat. Cut a piece a bit larger than the surface to be covered, spread titebond thinly over the whole surface and lay something weighty on top of the caul for several hours while it dries. You can then sand to the edges and try to match the finish of your new piece edge to edge. This looks quite convincing if you can match the stain/laquer closely. Challenging without a spray setup. Quicker setting adhesives like 3M spray don't leave any wiggle room if you miss your grain line but are quite good if you are handy and accurate.
For bigger chunks especially on edge crunches you can square off the damage area with slightly outwardly beveled edges. Then make a chunk of wood slightly larger to fill with edges beveled opposite of your hole. Glue it in with superglue then sand all the edges flat and clean up the finish. Laminate as described if you wish.
With most of these type repairs remember less is more. The smaller the area you work with the better chance of it looking good. The quicker you get in and out the less chance of chasing your tail. The simplest repairs while not invisible on close inspection look quite good from listening distances and will last indefinately.
I'd avoid wood fillers. They shrink and degrade over time. Colored epoxy works better on small spots.
Mix a paint tinting pigment in it when you mix it up. You can get real close to the finish shade that way.
Email me if you want further clarification.
If this doesn't make sense its over your head and I'd recomend having someone else help you.