You can certainly ask the Court to award you your costs and the Court may well do so BUT if you have trouble getting him to honour everything else, which appears to be the case, then it is a little unlikely that he will pay your costs.
It is important also that you grasp that the legal costs you incur are your costs - your responsibility. Even if the Court awarded you your costs, if your husband won't pay them, those costs are still your responsibility. Clients often feel that if there is an order for costs against their opponent, that the costs are no longer their own responsibility. And if the solicitors cannot get their fees from the other side, well, tough!
That's not how it works. The client is always responsible for the costs they incur in pursuing their case. If they get a contribution or indemnity from the other side, then happy days!
mf