Well the difference in the colour of the cheek rest from the rest of the timber on the rifle says to me its been replaced does the rifle bear any FTR markings, there is the lack of the serial No. of the scope on the top wrist which if the woods been replaced was it done by a competent armourer or just someone trying to get the best looking T on the block.
What markings are on the left wrist, what year, who made it, are there any markings in the left side of the receiver like the small "T", and stampings on the bolt race flats at the back, does the timber have any markings like S51 from H&H, the unserialed bolt is a worry as its not just a case of drop in fit they are quite the technical piece to fit as BIOZ said a while ago they are a helical lock up so all recoil surfaces have to engage equally.
More photos would be good to make a determination from the people with the real expertise with these weapons systems as mine is only limited from owning a T