I don't think you need to go to court or a lawyer to avoid the points on your license. In California where i am, they allow first time moving violators to take online classes and avoid the points. I did pay the fine.
I am not sure but Texas should have some such provision but you might have to take the class in person instead of line and pay the fine plus the fee for the class (which is not that much). google it: "texas driving ticket first time offense" (or some variation)