The star is a Marlin proof mark
and, contrary to what some people think, it is not a sign of a gun returned to factory for repair, etc. The Brophy reference states that for some years every gun that left the Marlin factory had the star to show that it was a fully inspected and approved, quality Marlin firearm. About the stocks.....if you replace the wood, keep the original, of course to put back on in case you, or the next owner wishes to.