In this episode, as in the one that came before it, rumors begin that Andy and Helen are engaged. And in both, Helen wears the same flowered dress.
The name of the spirit Barney is attempting to reach is "Count Istvan Teleky."
The name Istvan Teleky would not have been pulled out of the blue by the show's writers. It was a known name and at times a royal title in Transylvania, going back to 17th century Romania and all the way into 20th century Hungary.
Andy references Opie's three wishes a few episodes later in "The Lucky Letter."
One of the very few times that a fetish of Barney's, however misguided, appears to actually come true in the end.