It's hard to tell, but it has 84 grilles in it, and definitely the header is from 86 back.
It's easy to swap the front ends. But there's one thing that screams post 85 car, and that's the rear glass with the 3rd eye brakelight. This was a requirement in 1986 and up cars, and I can faintly see that the defroster grid is shaped to accomodate the 3rd brake light. Thus, it's at LEAST an 86 or newer rear glass. Those are a major pain to get out, so my bet is, if the VIN says 87, the title says 87, then it's an 87 with some different year parts put on it.
About the taillights, they would be solid red with a red (probably faded) rocket emblem in the center of the light. Also, the backup lamps would have a red perimeter stripe around the lens. 86 and up used those too.
One more thing to check, see if the VIN matches what's on the SPID sticker under the trunklid on the driver's side.