No professional opinion is needed: The copyright warnings at the beginning of DVDs often state that it is forbidden to perform the work in "restaurants, prisons, ..." (sometimes they even mention oil rigs).
Thus, indeed a professional opinion is "needed."
https://www.justice.gov.uk/downloads/offenders/psipso/psi-20...
"2.1 Showing films on DVD or video to groups of prisoners or staff, either in communal areas or via in cell television systems, is considered to be a public performance for which a licence is required."
This is the UK version, be my guest to search for the U.S. equivalent before making any further claims.
And again, movie licensing in the US is codified differently into law than music licensing. These licensing issues are not compatible.
One dirty trick which is used is to include something like "absolutely no copying" including for "education or personal use", which is not really true, because fair use permits limited copying. So that's an example of a non-legally sound clause.
The right to perform a work publicly and restrictions on those public places (e.g. as a studio I could license a work to be played publicly in a specific movie theatre) is one of the seven rights which are built-in to copyright law, so such restrictions are, in fact, sound.
No. You can "perform" the work as long as the performance is not "public." For instance, watching a DVD on your laptop by yourself at home is a "performance," but it's not public. This is a perfectly valid use of copyrighted content.