Situation cleared up
As the OP, let me report that the situation has been resolved. I called Wyndham back and found that, yes, I can do both units at the same time, but I need the guest certificate, just as Sandi mentioned.
Let me add another layer to the story.
After booking the two units, I found that I had chosen the wrong arrival date. I called Wyndham back and, naturally, got a different VPC. I explained my error and, after talking with her supervisor, she was allowed to work it out for me to regain my points as regular, not cancelled, points. It was a courtesy; they didn't have to do it. It was the decent thing to do.
Later tonight, I called back and booked with those returned points a 3BR at Ocean Blvd. We didn't really want to go back there again next year, but it is what we'll have to do in 2010. There are a lot worse things that can happen in life.
I talked to three VPC's today. The first one was not informed and gave me the wrong information. The other two (Sandra and Marsha) worked very well with me and were very helpful. I thanked them tremendously for their work. I'm convinced that there are good people out there, but we need to allow them to do their job.
In conclusion, a vacation was planned today. Life is good.
Thanks to all. Enjoy life.
EZ Ed