No, Rae sleeps (as in actually sleeps -- no sex) in your arms. There's a fair amount of cuddling on the couch as well especially with movie night. Naomi cuddles with you sitting at the front door. Caitlin gets hugs for comfort, occasionally. Lariel... is Lariel and at least is now willing to talk civilly.
Remember everyone's (except Rae's) libidos are enhanced.
Yes,that.
Imagine if Matsu from ES or Isac from My Real Desire are the MC.The girls probably the one always come and hang out with MC instead of the other way around.Isac more interesting because he barely show any emotion and apathetic.Never desire for sex or girls.But since he does help them out because its a 'right'things to do.They are the one keep pestering over him
As for what you mention,I think they just being friend.They never show any romantic interest to him.He is more like a male friend in a house that take care of the girls libido.
As for Lyriel,she never come asking for sex.She still look annoyed whenever you asking for sex service.Also like the others she barely show any interest with MC,nor does she interested to know about his background,hobby,job or whatever about MC.