Can I ask the court for some of my minor son lawsuit for relocating

the funds have to be used for the child.  If you are relocating and the funds will be sued for his expenses, then you can apply to the court to receive those funds.  you should have specific costs in mind, and just not a general number of an estimate of what you need for expenses.  If for example, its just you and your son, and you have an estimate of moving expense of $5000 from a mover, ask for one half of that to cover his portion of the expenses.  Good luck.