For the Noobs: Starting Bitcoin games. I cannot transfer Bitcoins, or use Faucets
Remember that the sender pays a fee.


That seems to be your problem. According to this info, if your transaction output is smaller than 0.01 BTC, you need to pay a minimum 0.0001 BTC transaction fee. Since you only have 0.00008 BTC, there are not enough funds to make the transaction (note also that the minimum fee is over 6x the amount you're trying to transfer, so it might not be a good idea to do so).

As for your other question, your game seems to be uniquely identified by that URL, so sharing the link would allow someone else to continue the game for you (and lose your money). I'm not really sure how the mechanism behind this works, though...