That's a dangerous crack because it's in the corner. The top crack in the vertical panel can be patched over but unless you fix the other one, it's not going to matter.
the melted area makes it pretty hard to patch over the crack because ideally you want to drill a small hole on both ends of the crack and then sandwich it with 2 piece that are about 1" larger than the damaged area. Problem is, the melted part. You might sand it down but hard to say if that will allow you to patch it well enough
The bottom crack in the vertical panel is really close to the seam and it looks like this continues through the bottom panel. You may be able to put a triangle gusset in the corner and bond it in with weldon 40, after you sand down that burnt area
I would say this is possibly repairable...but I don't know how it would hold up over the long term. The bigger the patch, the better I would say. Hope you didn't pay too much for it