<human>: Can you condense the text into a few key points?

[Texas] Hello reddit. 
I got my first ticket for speeding. This is how it happened: the road I usually take has a speed limit of 55, however this happened during school time so it lowered to 20. A while Before reaching the school zone some other driver was going into my lane, so I accelerated and passed him. I didn't know how fast I was going since there was a lot of traffic, I was just going with the traffic. I saw the police car on the other side of the road about 500. He then drove past me did a u turn then after I noticed it was for me, I pulled over. He only asked for my license then told me I was speeding and asked if I was guilty. Nervously I said yes. This is my first ticket ever. I tried talking to him but all he was saying is to "talk to the judge" he gave me my ticket and left.
I'm a student and I don't know how much it's going to be but I can barely afford instant noodles. I've been reading a lot and it said I should plead not guilty and try to fight it, but I already told the officer I was guilty. Is that a problem? I got caught 44 in a 20
Extra information: can't see the school zone warning lights unless your about 50ft in front. They are covered by a bush. He also didn't ask for insurance and registration. This is my first I don't know what to do. Help
<bot>: I got pulled over today going 24mph over the limit. Officer pulled me over asked if I was guilty. I said yes. Can I plead not guilty in court?