There's a computer terminal or something in Chronopolis that basically says the intro to Radical Dreamers verbatim.

For the record, I like that Magus didn't come back in Chrono Cross, although his return in Radical Dreamers was handled better than I thought it'd be; basically they do the "Laguna is Squall's father" thing and make it as painfully obvious as possible without every actually coming out and saying it.

Grand Lion!This is that 'friendly nemesis' stuff that you see a lot in Japanese fiction.
If by 'huge meteorite' you mean 'giant angry screeching space porcupine,' then yes.Yes, their curse was that it turned them all into huge jerks.
Then he poured a forty on the curb, etc.The vintage 12,004 B.C. Frozen Flame! I used to have one of these!!