I'm sure someone else will chime in on this one, but the fact that you were left alone does not reflect poorly on you at ALL! I might get jumped on for this one, but it seems like bad planning on the sorority's part. It was a golden rule during recruitment at my house, especially this far into recruitment, that PNMs are not to be left alone or left out of conversations. Sorry you experienced that.
Bonus though...you enjoyed Cheesecake! Yay...best wishes for a great pref.