For your father to appear on day 30, you must have finished:
- Maria's grounded quest up to where she gives you a HJ in her room.
- Maria's Otter Lab computer quest that starts at the beach on the weekend and finishes in your room with a BJ.
To start Maria's grounded quest, you must have done:
- Rachel's first date where you get caught in the alley by Maria and she grounds you.
Everything else is optional but can release other scenes. For example: Training your sexual ability with Jet up to level 4 before sex with Joanna will release additional scenes with Joanna and Maria.
Angie is the name of Beth's mother.
Edit: Or, at least it used to be. Now Beth's mother seems to be named Patty (according to Tom). Her dialog picture file is still named Angie. The name Angie does not appear as anything else in the game.