I think you've got everything you need listed; there's a good 80 year gap between Fallout 1 and 2 (And about 50 between 2 and 3), so I wouldn't worry too much about trying to integrate everything. And most of the perks can be easily translated into relevant skill levels and minor powers (ie +10 Power and Energy Defense, only vs radiation, +2 Damage classes vs. opposite sex, +10 PRE when talking to Children, Karma can be handled as a Reputation) I have to confess, I'm coming from the other direction (Played New Vegas, Fallout 4, then 3, just scratched the surface of 1 and I have 2 in the offing and boy, Wasteland looks neat...) so I'm not as familiar with the older games as I really should be.
If you're looking for lore notes, Oxhorn on Youtube has done a whole whack of Fallout videos, starting with 4 and now he's well into Fallout 3