I'm modding this:

It's a BattleStation II joystick, for NES/SNES/Sega/Atari/Commodore. Made with real arcade parts... niiice...

I'm going to wire it up to Playstation pad PCBs, then get adaptors for whatever system I want to use it on. (If anyone wants the old PCB, let me know...)
Questions:
1. For (digital-only) PSX use, it needs 2 more buttons (L2 & R2). Where should they go? Due to the shape of the panel, they can't go above the existing buttons, will have to go below. But where - both to the left, both to the right, 1 left & 1 right? Different for player 2?
2. If I wire it up with a digital-only PSX pad, will it work on PS2? I thought I read somewhere they need analog, or is that only certain games?