It sounds like you mean "capias" warrant. It probably depends on what your warrant is for. Not sure which number you called and who is telling...

I want to keep it off my record.

If you can work out a deal where completion of a defensive driving class or deferred period of time without an offense without another similar...

2 Public Intoxication Cases, One with warrant/failure to pay, New ticket that I should fight?

First you might want to see which courts your tickets are out of and clarify exactly what you are charged with. If both charges are Public...

If a police officer issued me a ticket, but put his own name as the violator, can it be dismissed?

The officer will merely have a problem with credibility if he testifies. A couple of issues - the police officer needs to be able to identify you...