See related links
Check the date code on the barrel, the details and table lookup are on the Remington Society of America, manufactured date link.
1916
Depends on what model, RW is Remington Works and serials are not unique across models.
With the serial number that you have supplied,your Remington model 1903 rifle was made in the year 1941.
No published sn data.
1923, will be date stamped check link.
Date code stamped on the barrel. Details on the manufacturing date link on the Remington Society of America
check the date code stamped on the barrel. Remington Society of America, Manufactured Date link has the details.
Impossible to answer without the sn or date codes.
Sometime between 1944-48
It's date code stamped with month and year on barrel, see related links for information on the Remington Society of America.
No definitive sn data published.