2.80 OFW? WOW! There's a few PSP modding tutorials on the forum. And yours will be simple as hell since your firmware is so low. Right now I have 5.50 Prometheus v4 (I think) and I've never needed to upgrade past that. It seems like 6.00+ is for people who don't have low firmwares or they have a PSP model that can't be permanently hacked.
Got lucky on ebay, psp in full working condition for $47 (With shipping) Had charger and a 4gb mem card with it.
Nice. I bought mine from a buddy and it was $50 with a few games. Same model too, PSP1001 and OFW 3.4 something. Also, I'd recommend Prometheus v4 because it doesn't require patching ISOs that are past 5.50 in firmware...or at least the ones that I have...