Isn't a static IP something granted by your ISP, not your router? You don't really have control over what IPs your ISP assign you.
Generally, I find resetting my router helps my connection. I think it's old and dying. T_T
"Don't let them promote you. Don't let them transfer you. Don't let them do anything that takes you off the bridge of that ship, because while you're there... you can make a difference." - James T. Kirk