Major Update:
I figured out my 12v to 5v power issue. It's a rookie mistake by me not knowing how the powerboost works. I didn't have the battery plugged in and was using the powerboost as a 5v passthrough, however the powerboost only charges the battery, and boosts its voltage from 3.7 to 5v. Once I tried it with just the battery plugged in, it powered on the screen using the solder pad where the 12v signal was orignally coming in. I didn't have to worry about the IC, or what pin to use, I just used the existing power connection but with 5v of input.
Here is what I did today. I'll explain each attached picture.
1 - To fasten the screen to the case, I had the idea to use the back of the monitor case so that I didn't have to create any custom standoffs. I cut two corners off of the case backing and once those two corners are screwed in, it's super secure.
2 - I worked out where everything would go in the case. Seems I can use the existing PCB connections for the powerboost and amplifier so they are nice and secure. For the gamepad PCB's i'm also using the existing connections (That's why they are in that particular shape)
3 - For the monitor connections, i used the existing composite cable PCB that took the one ground input, and turned it into a common ground out. Not necessary, i could have just split the wire, but this is a clean and cool way to do it. I'll clean everything up and hotglue and shrink
4 - Tried all my modificiations and IT WORKS!!!
5 - A shot of the video out in process.
6 & 7 - for the battery, i plastic welded the battery cover in place (the game gear has 2 battery covers since it required so many batteries) so it will be sanded and appear as if it was never there. I then took some more pieces of the monitor bezel that was left over and glued in a small piece to act as a guide and to make it fit better. Notice that I also cut off some of the PCB connections from the game gear that were unused and I plastic welded them to act as stand offs for the Pi. The Pi sits in its position so that I can access the sd card via the battery cover.