>>12 Suggesting a romance increases it greatly.

Trust Invite Event - Blazewood - Near Officer Mewmew, under the bike pergola. You go on a ride with Lucy. After the ride, respond: "So warm..." for trust increase. Significant trust increase after the event concludes.

Lumina Square, Gravity Cinema (Afternoon): Suggesting a horror movie increases trust.

Invite trust event - Shining Hair: Selecting "You're hair ends are frizzy" followed by "Lucy you're hair is so soft..." gave additional trust as well as significant trust.

Hotpot Lucy: Choose "I'm amazing."

Sixth street (morning) - In front of coff coffee: Option "citrus" gives trust increase

Blazewood (morning) - Upper level: "But I like you, Lucy" gives significant trust increase

Random Event at JC Pharmacy. Lucy will if you're interested in buying energy supplements. Picking the prompt "I'm kinda of interested." will increase trust.

>>2 I finally figured out. There is a chapter 2 (i believe) quest called Family Education. I had already finished this question. I only now realized there is an old man that sometimes is in the video store. you have to talk to him and you'll get the TreCaris movie tape (talking to him counts as the epilogue to the quest)

Meetup: Duyi's (Offer to go get a massage together) Event gives significant trust, offering to learn how to massage gives additional trust.

Lumina square - Close to officer mewmew (morning): "I'm kinda interested" gives trust increase

>>2 Change the time of day in the video store until Jobert (the old guy who gave you the commission) shows up and talk to him. There’s no marker, but he’ll give you the videotape.

any clue about the TreCaris videotape? The quest said to complete the "Family Education - Epilogue" but there's no said quest in H.D.D

Invite event: The Weather’s Great, Let’s Go for a Walk - got a trust increases from answering “They’re students” to the first question and then significant increase from saying “none of them” when asked which boar she would save first at the end of the event