Most likely, yes. At this point, all you can do is keep up with frequent (as in daily) water changes to keep the ammonia and nitrite levels down. A good liquid test kit would be helpful. Please do read the article that jpappy linked. It should answer all of your questions about the nitrogen cycle and beneficial bacteria.
I would say yes, for two reasons. First, it will reduce the stocking in your current tank, which will help with the water quality. Second, it seems like a good idea to get the baby saver out of there so your other frog doesn't get caught.
