Who polices Stonington
Stonington has its own police department, and arrests in town are made by Stonington officers, who handle booking and the initial bond.
Interstate 95 runs through Stonington to the Rhode Island line, and highway stops may be state police work. The line itself is the thing worth understanding: which side of it you were on decides which state prosecutes you, not where you live or where you were heading. A Stonington arrest is a Connecticut case under Connecticut law.
Mystic straddles Stonington and Groton, so an arrest in Mystic happened in one town or the other. Both are GA 10 towns, so the case is heard in the same place either way; what changes is which department to call.
Where your case goes
Stonington cases are prosecuted at New London Superior Court, GA 10, at 112 Broad Street, which is a real drive west along the shoreline. Go to Broad Street, not Huntington Street.
Released, the date is on your paperwork. Held, court is the next business day. There is no public lot at the courthouse, so leave time for street parking.
After the arrest
Stonington officers or troopers either release you on a written promise to appear or on a bond, or hold you for court the next business day. If you live over the line, note that being released ends nothing: the date on your paperwork is a Connecticut court date and it holds. The arrest page and the bond and bail page cover booking and the bond.
Wait for an attorney before giving anyone your account of it, and assume every call out of custody is being taped.
On a family violence arrest the timetable is fixed at the next business day however you were released, and the protective order that issues can shut you out of a house across the state line as easily as one in Stonington.
Common charges in Stonington
Highway and shoreline traffic put DUI and drug possession at the front of the Stonington docket at GA 10, with larceny and shoplifting, assault, and domestic violence and family violence behind them. A first offense often qualifies for a diversionary program ending in dismissal, which is worth asking about early if you live over the line, because a Connecticut conviction shows on background checks wherever you are.