Yikes, sorry for the quadruple post, but I'm gonna take a break so here's a list of everything I've done:
reflowed each solder point, and tested fishy looking ones (blobs etc)
checked the values of all resistors with a multimeter
checked the values of the capacitors (and their orientation) visually
checked the board for solder points I may have shorted
checked the ICs, whether they are the right ones and whether they are correctly inserted
swapped the TLV2472CP with an MCP6002 (then back after no change)
cleaned all stray flux off the board
attempted to boot into various modes using button presses/holds at startup (screen is completely blank no matter what, booting with button 1 does not make the device show up as USB storage on my computer)
attempted to boot into DFU mode using jumper 3
triple checked jumper 3 was open with multimeter
checked connection of each pin of lcd screen to pcb using multimeter
checked that buttons were open/functioning properly when unpressed and pressed
booted without the PreenF405 not inserted into the 40 pin DIP socket--screen is still blank, but the leds do not light up.
confirmed that 4th, unlit, led was not dead by applying 5v via a 220ohm resistor directly to the legs (lights up fine)
checked continuity of each pin of the PreenF405 with the socket/pcb (multimeter from top of F405 to solder at bottom of PCB)
Sorry for such a long post, I'm thinking with the timezones seems like it'd be a bit slow to say "yes I tried that" once a day lol.
From looking at other threads I'm thinking I need to maybe try flashing the bootloader and firmware?
What I think I need for sure is to go to bed haha
Thanks for all the help so far, enjoy your weekend and don't rush to respond, I'm excited for the synth, but it's not gonna kill me to be a bit more patient.