Absolutely not. In that case, any monetary needs for the girls should come out of his share. I assume the child support for the girls comes out of just his account?
But, please don't think that you are funding this vacation completely by yourself. I bet your DH would not be thrilled to see that you are saying you are paying every dime of the vacation. Your DH's share of the mortgage, car payment etc. allows for the extra money on vacation. Keeping things too separate and comparing aren't the best thing for a marriage.
Again, as I have said at 7 and 11 I (personally) would not give my children any spending money. They are old enough to earn it and learn the value of a dollar at that age. Plus, I hate clutter and the more souvenir's they get the more clutter there is.
As was discussed earlier, I think your chart where the girls can earn the money is great. However, have a discussion with them that this is their budget for the entire vacation. They can spend as they choose but when it's gone it's gone so they may want to come up with a list of people they want to buy for and write down a figure they want to spend on each person. There is an under $10 store in DtD that is pretty good.