First things first- get them the heck away from each other.
Secondly- Don't be pressured by your housecarl into doing anything you don't want to. You are her Thane, and she is not to command you, much less blackmail you.
Thirdly- Mjoll sounds decent enough, but her jealousy is a very large red flag to me. Relationships require trust, and a woman who threatens others for simply looking at her man does not sound very healthy.
Lastly- Don't ask them to exchange jewelry, are you
nuts!?
Sounds like it'd be in the best interests for many women if your "character" were to stay single.
Dear Janus,
*snips*
- A Stranger in a Strange Land
I have multiple thoughts regarding your case-
I think you might have moved too quickly in adopting this child. Orphanages exist for a reason, and one of them is to avoid situations like this. Not to shame you for having a loving heart, of course, especially since what's done is done.
It's possible for your child to grow used to moving around. Military families are known for this, in fact. If you have any soldier friends, I'd discuss it with them.
As for marriage- there's no shame in wanting a father for your child, but you should also marry for love. Be honest with your suitors regarding your expectations in a man, but be willing to compromise with them (after all, chances are you won't live up to the full extent of their standards. No one's perfect, after all).
Finally, you might reconsider your career. I'm not saying to give it up, but see if there are ways for you to be home more often.
Dear Janus,
WHY CAN'T I MARRY RAGOY KNOT BIRD?
Still Waiting,
The Internet
Ragoy Knot Bird tying himself down to one individual would be a great disservice to the world at large. His marriage would start Trojan World War III or something.
More like, why can't I marry Ulfberth War-Bear
Honey, have you seen Ulfberth's wife? Nothing's pulling him away from that!