S.F.
Hi Sunshine,
I'm going to tackle this question from a slightly different point of view.
While I was growing up, my mom was married to a control freak. She had to account for EVERY MINUTE she was not with my step-dad, ask permission to do everything, etc., etc. If she couldn't/didn't do this, a huge fight would ensue and he'd "punish" my mom by not speaking to her, treating my sister and I worse than he usually did and generally thrash on her self esteem.
Fast forward 10 and years and I married my husband. I asked permission to do everything, accounted for every minute I was gone and it took HOURS to tell my husband everything, right down to conversation details with other people. Why? Because I thought this was normal and if I didn't do this, I would be treated poorly, he would leave me or stop talking to me. My husband, bless him, finally told me that he trusted me and, for a while, refused to listen to more than "I went shopping and had lunch with a friend." I wasn't even allowed to disclose the gender of who I was out with! It took me a while but I finally got over the need to account for my every moment. We do so now, not because we HAVE to, but because we want to hear the cool things the other has done.
Of course, with two kids, we share our schedules to make sure the kids and their activities are covered, but everything else is a courtesy request, "Hey! Do you mind if I have lunch with so-and-so on Saturday? The family schedule looks free." If there's no reason to say no, the answer, by default, is yes. It works both ways, of course.
So, I told you all that to ask you this: do you want Jayson growing up with this model? Do you want Jayson to treat his girlfriend/wife this way? If the answer is no, than it's time for change. I would start with a series of heart-to-heart conversations. What is his real concern? Is it money? That you're cheating on him? That he's afraid something bad will happen to you? If you can isolate the root cause (hard to do, but possible), then the two of you can address it with reasonable solutions. If the two of you can't get to the bottom of it, counseling might be in order. Worst case scenario, he's never going to change and you decide what you and Jayson can deal with (and it's ok to think one way now and change your mind later).
What I ultimately learned from my mother's (and my) experience with control freak vs. laid back husbands is that a husband who truly loves and trusts you, knows that you'll come home, with unbroken marriage vows, no matter where you've been and who you've been with...usually with a ton of great stories to share. Controlling behavior is a symptom of extreme fear and you shouldn't have to suffer because he's freaked about something.
Good luck, Sunshine!