I have a court fine due in 5 days help?

Alright, I owe 1300 dollars but I just recently moved so im broke. I was wondering if I sent a letter telling them I would make payments like 50 dollars a week minimum and they accepted the first initially 50 dollars would they still be able to put a bench warrant out on me. Wouldnt that be a breach of a wriiten contract since I told them I would make payments and they accepted the first one? the court system is in brunswick county nc. Only answer if you know for sure, preferably if your a lawyer lol.