Boudicart Correction: the quest itself does
not lock. You get locked out of interactions with Peter: on one hand, all choices there make Peter stop talking to you, but on the other, talking to Peter after the first break-in is
optional, you can bypass the issue completely. You only
need to talk to him after you break in for the second time.
I looked through search and couldn't find an answer to here it goes: How do you starting dating someone? I'm not talking about having them over through asking / phone call but legit relationship. In the lore for each npc under Database, the first option is Dating you. I'm assuming there is a relationship option at some point. How does one initiate this?
Pretty sure that IS the "ask them over" option: you sit around, chat, have some drinks, have some fun, have some "fun"...and after a month-or-so of not calling them over again, THEY call YOU about it, and rejecting the suggestion hurts your relationship stats.