On 1, I think it makes sense she would want to go down as herself after her innie tried to kill her and sabotage her entire company. Plus as you said, I think she's intrigued at why her innie kissed Mark.
On 2, I agree and disagree. On the pineapple thing, I took that as more of a sign that Cobel was saying that Mark wasn't important and everything they do is extremely calculated. The gift wasn't a true apology or anything like that, it was a standard calculated decision by the company.
On the other hand, I think there is definitely control going on but in a different way. Watching Dylan G in this episode, I think they are grooming his innie to take over his outie completely. I think his wife is annoyed with his outie as being lazy and unhelpful, but his innie is motivated and "better". That's why she lies as to how it went. And once they offer his innie this opportunity, then Lumen controls him forever because they can always "kill" his innie at any time. Dylan G will become a company man for life. It wouldn't surprise me if several other characters like Cobel and Milchek have already had this happen.
Spoiler!
Yeah I’m convinced milkshake and cobel are permanent innies who took over their outies lives after ascending. Also they could’ve died and been brought back to life like Gemma through brain surgery chip implant. That’s why milkshakes motorcycle is so important because he died riding it and the breathing tube for cobel was probably hers and she died in a hospital wearing the breathing tube. I think the mdr people are feeding human emotion to AI to implant into the dead people. And they can’t leave town for some reason as cobel turned around I’m thinking it has to do with the chip turning off but not sure.