Yes 3006, 270 is a long action 308, 243 is a short action.
About $250, depending on which version and condition.
codey
100-1000 USD and up depending on specifics
Impossible to answer without a DETAILED description of ALL markings.
See related links for date code stamp information on the Remington Society of America.
There is no model number 3006 or 243 in the Woodmaster line. Check Remington's webiste under the Sportsman's Library.
You can get an owner's manual from Remington. Check their web site.
100-300
1934-1935 They were on limited production.
100-400 or so
100-400 USD