Impossible to answer without a detailed description of all features, condition, finish, accessories, etc..
100-400 or so
$20
50-500 uSD
50-500 usd
Informaiton not available in the public domain.
Military and Police
100-450 USD
50-475 usd
the sn you list is outside the range normally associated with the airweight. You must call S&W
Airweight was the name S & W gave to their early aluminum alloy frame handguns. I believe that they were all built on their "J" frame, hence the J prefix. If your handgun has an exposed hammer it is a Model 37 Chief Special Airweight, if the hammer is covered by a shroud it is a Model 38 Bodyguard Airweight. I believe that the model # should be visable by opening the the cylinder and looking at the point where the cylinder yoke indexes when the when closed.
You need to find a gunsmith or firearms instructor
50-350 usd