Value of ANY firearm is driven by exact make, model, condition, and originality. If you have a US Military issue M1 Carbine of good condition, they are selling for $600 and up. Depending on variant, the up can be significant. The civilian versions are typically about half that. You will need a hands-on assessment from someone that knows carbines. They were made by numerous companies, and have several variations (hi cut wood. low cut, flat bolt, round bolt, bayonet lug, etc etc.)
Impossible to value with just the serial number.
$1,100.
20-50 USD
1966
100-500 USD
50-300 usd
0-multiple thousands depednig on EXACTLY what you have, its condition, etc..
100-1000 or more depending on specifics
50
It was made in 1881.
A letter from Colt will get you started.
Try oldguns.net