The issue of the Weekly World News used in the movie is a real one, from July 7th 1992. For a number of years in the late 90s and early 2000s, I would regularly subscribe to the magazine, buy McEwans and read 'the paper'.
I have been able to find much of the original issue of the WWN from that particular date and I have reproduced it below. Sadly, the Weekly World News is no longer being printed but it is still published online, but you can buy original uncirculated copies from their website.