But the specifics of the author's case don't really matter all that much. "Screening" means she wants to show it to the public, and since Point Break is a copyrighted work, that's not something you can do without the permission of the copyright holder (see http://www.prattlibrary.org/locations/sightsandsounds/?id=11...).
The point of the article is that in many cases, finding someone who can actually give you that permission is insanely difficult or even impossible, as the rights for a property pass from company to company over years of deals and mergers and bankruptcies. It can get so complicated that eventually nobody knows who actually owns the rights anymore, turning the property into an "orphan work" (https://en.wikipedia.org/wiki/Orphan_works). This results in a Catch-22: you can't exhibit the work without the permission of the rightsholder, but since nobody knows anymore who the rightsholder is, there's no practical way for you to get that permission. So the work floats in limbo, inaccessible to the public unless you're willing to break the law.