To add to my post above, I have done a bit more research and I made a mistake.
The album signed is Tug of War and that was released on the 26th of April 1982 (not pipes of peace as I listed above)
The filming of the movie took place between Nov 1982 and ended May of 1983 so the album was out at the time of filming.
I still have my doubts but this very well could be authentic athough with very little value. As the add states
"SLEEVE HAS BEEN LAMINATED FRONT & REVERSE"
Even if this turns out to be real, the lamination has ruined any value to an autograph collector

I tend to agree with jrot.
Also signature just doesn't look right to me. And it's off of ebay. If you want a "real" McCartney go with a reputable autograph dealer.

Hi Matt

At first look, the autograph looks good.

I would have reservations on it though.
1) Most Paul Mac's on Ebay are fake
2) Low starting price, A real Paul M LP signed could fetch over $200.00
3) Pipes of Peace (the LP that is signed) was released on Oct 31 1983, Give My regards to broadway was released in Oct 1984 which would mean filming and production would have taken place prior, sometime after Oct 31st 1983 - seams like a very short amount of time
I would want to know when (aprox date) this was signed to see if it matches up

If real, the big thing that will de value this auto is the fact that it has been laminated.

If it were me, I would pass

pubes