If he wrote those, I have a big suspicion that he was molested and abused as a child.
Perhaps he actually was a much better writer than that. But he knew those plays wouldn've been handed into his professor. A blatant cry for help. It was reported that his verbal communication skills were very weak, but he was a writer. Someone in a mental state as fragile as his may have been at a point where he could've cared less how well he wrote and his grade.
A professor stated that it was brought to the English department's attention that he was in need of some help, because of some material he wrote. So as of right now I have no problem believing he wrote both of those.
The style and blatancy is very similar between Richard McBeef and Mr. Brownstone. Both open with high conflict, which is not sustained at all, and ends sharply with some very climactic, dark event.
And the fact that only the one is listed on the one website, while both are listed on the AOL site, suggests that they were not obtained from the same source.