Accusing of fishing with no license, handcuffed, jail?

So I went to fishing with some of my co-workers in Denison Dam, I ride with one of my co-worker so i didn't bring my Driver License with me. It was the first time i went fishing. So when we got near the fishing area, my co-worker told me to go buy a license, but i didn't have my ID with me so I cant get the license. So we head to the fishing area anyway, I did not fish, hold the fishing pole or touch a fish when we were there, I only stand in the water with my co-worker. After like 2 hours, there is several officers came and check everybody for their license, when they came to me and asked me to show them my license I told them that i don't have a license, so they asked for my ID, i told them that my co-worker gave me a ride so i didn't bring my ID, and also told them that i did not fish. One officer told me to put my hand on my back and he handcuffed me and told me that I'm going to jail to verify my identity. So he asked one of his partner to walk me to their car and i waited for about 10mins. I was kinda argue with his partner that I did not fish while we waited by the car. Than he finally walk toward me and his partner walk to him and they have a little chit chat. After they finish talking, he came to me and said "Do you want to go to jail?" I said "No", and he asked "So are you going to pay the ticket?" I said "I didn't fish" and he said that he had "VIDEO OF ME FISHING", and my co-worker yell out and he said "I will pay for him". So he wrote me a ticket and let me go. So can i go to court and fight for this? Because I did not fish, if i did I'm willing to pay for it, i don't mind to pay $200-$300 if i really did broke the law, but i did not fish and they are accusing me for it.