Your H is aware and on board, and that is a blessing.
In the beginning of your SSM recovery, he IS going to be forcing himself to rise to the occasion, and it isn't going to feel the way you want it to feel right away. It may take time for him to build up momentum, and go through quite a few rounds (weekends, likely) of forcing himself to take action. Once he gets in a natural groove, it is just going to happen because he might start to want it more, because he will see how happy it makes you, and because he will see the overall positive changes in the marriage.
Until things get going, you are going to have to be patient and make the best of what he is able to give.
If he is truly uninterested and not enjoying himself at all, then I would shut it down and tell him that you would rather wait until he is more in the mood. You shouldn't have to endure a miserable experience, and he should know that you won't accept it that way.
He is trying, and that is a beautiful thing! He's going to need some time to practice pushing himself out of his comfort zone until he feels comfortable in this new place.
Are you still reading? Have you done any exploration with regard to your need to be pursued? Have you thought about pushing yourself out of the comfort zone a bit with regard to flirtation and showing him that you want him?
He is learning what you want by how you behave. If you want a fun and flirtatious relationship with your husband, I would recommend being fun and flirtatious in your daily life. Don't just stay inside yourself and wait for him to flounder and figure it out all by himself.
Best, Lucky
P.S. Do you two have date nights? My H and I try to have at least 2 per month, and it really helps keep us focused on us.