All rifles or reasonable caliber are going to have recoil, I would look at your mounts or scope. tighten up your scope rail
There is no model number 3006 or 243 in the Woodmaster line. Check Remington's webiste under the Sportsman's Library.
200 to a few thousand depending on EXATCLY what model it is.
Depends on condition and parts originality. Range from 300-800
depends on what model it is as well as the age. need more details on the rifle.
400
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.
You can get an owner's manual from Remington. Check their web site.