Many Remington Firearms may be dated by the letter code stamped on the barrel. This combination of 2 or 3 letters is rather small, and is stamped on the barrel on the LEFT side, at the very rear of the barrel. You may need a magnifier and a bright light. Once you find the letters, go to the link at the bottom of this page to decipher the date made. Good luck!
You can find Remington Date of Manufacture codes at www.rimfirecentral.com in Remington Forum
not aware of any such list....................
Go to their website. If they won't, they have a list of folks that might.
Find an authorized Remington Repair center. You can find a list on Remington's web site.
You do not have anything following, but secure storage would be HIGH on the list of desirable characteristics.
Assuming your Model 11 Remington is a shotgun. Remington doesn't date firearms by serial number. Receivers (which have serial numbers) are made during one specific time. Later, at some point the receiver is assembled into a complete gun. Remington, for some reason chooses to use "date codes" that are stamped on the shotgun barrel, so assuming the barrel is the original barrel to that firearm, the date code on the barrel holds the key to when that shotgun became an assembled firearm. Actually serial list/dates do exist ;) They are online at the Remington Society of America in the part of the Remington factory log book including model 11's, from my quick list this is a very late shotgun after 1931 (where my quick serial list ends). There is also the date code table there, please see related links.
Check this list on the Remington Society of America: http://remingtonsociety.com/rsa/service
AFAIK no such list exists for the public to view.
AFAIK, one does not exist.
Law enforcement only.
As a private citizen, you can't.
Check the Remington website under customer service for a list of authorized repair facilities.