Had just had a few drinks and there was a check point.
Yes, jail time is a possibility. A first time DWI is a B Misdemeanor, meaning you could do up to 6 months in jail. However, there is more to worry about: If you had a child in the car, you could also be charged with child abuse/endangerment. If you were recently charged with DWI, the Department of Revenue has already started civil proceedings to suspend your license: this is an entirely separate process from the criminal charge.
This is a very serious situation. However, an attorney can work to keep you out of jail, keep the charges off your record, and help you keep your license.