Does my husband need to pay child support when he gets his kid on the weekends? Can he claim his kid when filing for tax return?

The answers depend on the court orders. If the court orders him to pay child support, the he pays child support. If the court awards the tax exemption for the child to the other parent, then the other parent gets to claim the child.

If your husband thinks the court should change the orders, your husband should review whether his facts would support the changes he wants.

That the court orders for another family are different than the orders for your husband does not mean much since the law allows the court wide discretion in making the orders.

The child support calculations have built-in assumptions that a child would spend some time with each parent. Having his kid every weekend may still not be more than the built-in assumptions.

Your husband should review his specific facts with his attorney.