save yourself!!

It's good that your fiance is paying child support but he seems to have him a good portion of the time. Also, I'd have a problem with him giving her money to take the child to the movies? Why is he doing this? There has to be some boundary. If not next time he'll be giving her money for rent, car note and whatever else.

Here's the thing - you're already resentful of the money (and maybe the time) going to this child and his BM.  You're likely going to become more and more resentful as it continues and the child's expenses increase.  Correct me if I'm wrong, but I would think that if your fiance's paternity was legally established and he had court ordered child support and court ordered visitation time, then you would feel better about the situation, and perhaps less resentful.  And if he had court ordered parenting time, his worry that the BM would withhold the child would be less and he might not feel as inclined to cater to her whims.  So maybe, as makingthebest suggested above, your best bet is to insist for the health of your relationship that he pursue this legally (not SAY he's going to do it, but actually DO it).  And if he doesn't, you have a pretty good idea of where your relationship stands.

It would be supper easy to do an DNA test.  To find out if it’s his kid or not.  As long as your BF pays his portion of household expenses. 1/2 of everything.  What ever other money is his to do what he wants. It’s looks like you have 50/50 on child’s time. BM should really not be getting CS. 

It’s looks like you have 50/50 on child’s time. BM should really not be getting CS. 

Not necessarily.  In my state plenty of parents who have 50/50 physical placement pay CS.  Instead of being a percentage of the NC parent's gross income, it's roughly a percentage of the difference between the income of the two parents, paid by the parent with the higher income.