When you put iOS 7.0.6 on the 4S, did you do it via iTunes or did you use the over-the-air (OTA) method via your Settings app?
If the latter - I'm afraid that the jail break isn't going to work (given your description of what does/doesn't happen). Some people are lucky in that it works for them after an OTA upgrade. But, it's always been an issue with the evasi0n 7 jail break tool.
I'm pretty sure I did the OTA update. I guess I'll have to wait until they come out with a release for 7.1