After reading through this subreddit I skipped just replacing the screen and decided to replace the mobo because this is a TA-085 motherboard and it will apparently fry any screen I put in it if I give it long enough. I got a spare PSP for parts instead of just a mobo bc hey you never know when you'll need more. I didn't realize JP 2000s use T1 torx screws on top (just the top two for some reason) so I had to order a kit and used Total Kommando's guide to dissemble it (shoutout to the GOAT TK)
For anyone in the future who wants to do a swap like this, note that there are differences between a JP and US 2000 (or maybe the color way had something to do with it?). For example, the RF shield, the black part that holds the memory card slot, there's a slight difference in joystick contact shape (I believe), different spacer shape, and the new screen didn't want to sit exactly flush likely due to me needing to swap out some other small components.
If you're trying to force it, readjust or swap more parts. By the end I had swapped the face button contact, the memory card slot, the media bar, and the RF shield. (Also be sure to note where the little spacer pad goes. Some go in the RF shield while others go closer to the face buttons). For a cleaner, more flush job I could've swapped everything, but I was able to close it without pinching or breaking anything.
One more thing: if you didn't have any of these problems before but suddenly have joystick, face button, and/or UMD drive issues, it's because you didn't screw the case down. Yeah it sucks to screw things back in before testing but a lot of that in there is pressure sensitive and likes things a certain way. I thought I fixed the mobo but screwed everything else up. Nah. Works perfectly now. No more motherboard frying my screen to death