It's a Sporterized No 4 rifle, Whether it is a sporter lee enfield or a Parker hale Supreme, hard to say from the pictures.
i) Take some smaller picts, show the left and right side of the front sight.
ii) Is there and markings on the top of the barrel, Like Surrey, of Parker hale?
iii) Is there a PH stamped on the right side of the receiver, towards the back on the butt socket, under where the handle would cover over when closed?
iv)It could be a No4Mk1 or a No 4Mk2, The sporter stocks where made to be versatile enough to accommodate both. I have one of each. You will need to remove the trigger guard to tell. But it should be registered, what is it registered as? (not the the CFC is correct, because they are not accurate).
It looks like your cocking piece is broken...?
Pete