Front end consists of a Colpitts oscillator where your roadway loop forms the inductive component.
A 2 X 1 m loop with 3 turns of wire is a good size.
Expect a lot less than a few KHz change with a typical vehicle passing, more like 50 to 500Hz change typically.
0.01 to 0.02% delta L/L is normally the maximum sensitivity of a loop detector.