You MUST call S&W to get a correct answer.
Sounds to me that you have a smith and Wesson mod-12.These fine .38 special revolvers are selling for 200-300 dollars depending on the overall condition of the gun.
No
The smith and Wesson model 10 has the K service frame.
The 1966 Mod 60 Smith & Wesson in good condition is worth $1,200.00
Your smith and Wesson mod 4043 is running between 240-400 dollars depending on condition.
10-600 usd
1970
100-400 USD
It can be done, but, it is not recommended
Started in 1983
50-800 usd