No way to identify maker by just the serial number and caliber.
A bullet that has left the barrel has marks left from its travel down the barrel.
measure the barrel from one end to the other end. that is the length.............
$400
100-1000 or so.
Early Harrington & Richardson revolvers did not HAVE model numbers, but model NAMES. In your case, the model name is "22 Special".
ctg = cartridge
50-500 usd
2k What is this value based on
Need the exact model to answer.
No published sn data.
An experienced gunsmith can or you can send it to S&W to have it done.
This will depend to some degree on the barrel length. A 4 inch .38 Special revolver has an effective range of about 50-60 yards.