A grand larceny charge is a felony, punishable by a year or more in jail, which makes it more than serious enough; $1500 is at the lower end of this offense, which would probably work against any sentence much more than the minimum, especially if you have no other criminal record.
The statute of limitations isn't relevant, because it only goes to when the charges are filed, and that's been done. And criminal statutes of limitation are suspended (the time doesn't run) while the defendant is out of the state.
Your first step, I think, should be to hire an attorney in New York, in the county where the charges are pending, to see what, if anything, the prosecutor is willing to do to get this resolved. One place to find attorneys in other states is our website, http://attorneypages.com