Can I get a ticket for failure to use turn signal when leaving a private lot?

I live in Texas and last Monday I was pulled over after leaving a business's parking lot for not coming to a complete stop and not using a turn signal to turn right. There was no stop sign and I have not been able to find anything in any of my research that says that what I did was illegal, therefore, resulting in a ticket. There is more to the story because I was then arrested, for an expired insurance ticket in 2010 that I did not know was a warrant. I have no prior traffic violations on my record nor do I have a criminal history. I am trying to fight this ticket, but would like an expert opinion on this matter.