No it does not. The Browning BPS Hunter is a shotgun. The "410" signifies the shell size (guage) in this case .410
Among other BPS shotguns, yes.
That is a Browning BPS Hunter 12ga made in 1988. Value is going to be $250-$300.
Answer The current offering of barrel choices By Browning for the BPS Hunter does not include 32" barrels. Perhaps one could be found on the aftermarket. Check the link for the current Browning specs
50-500 usd
A Browning model BPS magnum hunter/stalker in 10ga.will bring 415 dollars in 95% original condition.
Never heard of a model 22 BPS. A Browning BPS in 20 gauge can vary from 150-400 depending on condition.
50-500 usd
500 USD
100-1000 usd
Browning Pump Shotgun "BPS"
http://www.browning.com/customerservice/dategun/index.asp can help you date various Browning models. Your BPS 12 gauge Hunter was made in 1981.