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.