What you have is a 57 replica wide-body. (Tear drop taillights and shine up license plate light). Appears to be CMC/Fiberfab from the mid 1980s.
Does it have the missing pieces? I see the deck lid, but what about the rear bumper, front horn grilles, hood handle, top, door panels, etc?
Show us a picture from the side (door gap is important).
-=theron