I found that very strange that they will not allow you to enroll as "self". I don't know who you work for but that is a bunch of BS. Open enrollment is just that open enrollment for anyone who wants to change their plans, drop their plans, or enroll.
I've never heard of such a thing. Couples can have their own respective plans and do not require have one plan. Are you trying to get insurance for yourself or yourself and your children? I would think your h would be responsible for the kids' insurance.
Sit quietly, the answers will reveal themselves when you least expect them to. The past is gone, the present is a gift and you need to focus on today, allow the future to reveal itself when it is ready.