It will fit. There may be a little bit of chisel work needed (because of the difference between the Mk1 and Mk1*); IIRC, there is a recess in the stock for the Mk1 to allow the bolt release system to be pushed down, and that recess isn't required in the Mk1*. But we can get to that later if you get the stock and post pictures...
Make sure your barrel is intact (with the bayonet lugs in front of the front sight) before you start acquiring parts.
Lou