I think it is normal to not feel like sex if you feel generally unsupported by your husband.
If he is not a good partner (ie taking on his share in every department), you don't feel loving and fun, and you have to get to feeling like that before you can even think about sex, imo.
I often joke to DH that him doing the washing up is our "foreplay", as after a day where we have both been busy, if he just goes and plays on his computer whilst I do washing up/kids bath etc. fisters a sense of resentment.
I can't fancy someone I feel slightly resentful towards.
After every child, job change or house move, we have had to find our balance again.
Seems like you have lost yours?
You need to work with him on finding the give-take balance. Right now you may feel you "give" more than him.
It is not about witholding sex as a bargaining tool, it is about getting back on track as a couple, rediscover the love and fun!