I can't make a move in my game because the message "This advertisement will appear periodically between moves for non-subscribers" always comes up, and when I "click here to continue your game", it always reverts to MY last move and not the move that my opponent has just made. If I open "analyse board", I can see where my opponent has moved, but it just won't seem to register on the main board. Help?

This is most likely the result from over enthusiastic caching taking place somewhere (your ISP, possibly?)

I have update the link to 'defeat' the cache, so all should be well now.