So I've been reading and getting ready to setup a room in my house. This is the best room my house has, as far as dimensions are concerned. The ceiling is lower than ideal, (8 feet,) but hey, what are ya gonna do? It's low end theory after all. I've posted the bare room, and my best guess as to how to treat the room so far. I'll bass trap the corners and near the back, as well as placing four panels on the ceiling above me. All bass traps will be 4" mineral wool/rock wool panels, given that I'm on a shoestring budget.
QUESTIONS:
1.) How should I place the bass traps along the back?
The room is 12' 8" wide, and I took the doors off the double closets on one end of the room, which SORT OF gives me 16' 10" long. The obvious caveat is that I have little wall sections jutting out of the back of the room. I'm thinking making a pseudo wall of bass traps with gaps in between them might help "flatten out" those wall sections jutting out of the back, but I'm not sure about placement. If I place them as in the drawing, will they help, or just wind up making the room sound totally awkward and square-ish? It would be nice if I could knock out those wall sections, but that's unfortunately not an option.
2.) What to I do with that darned window on the side? Just board it up?
There is a 36" window front and center that I plan on covering up with bass traps, but there is a 60" window on the long wall that I just don't know how to treat. Bass trapping it would be more expensive, since I think I'd have to match it on the other side of the room, and I haven't been able to find a gold standard for what to do with windows that big yet.
3.)What am I doing wrong/forgetting here? I'm sure there's got to be SOMETHING.
Sorry I'm such a newb. I HAVE read a ton of threads and the guides Ethan and the other guys post frequently though.

Thanks in advance everybody,
TrAlex