Today, when I play black, after my first move my clock keeps running!
Why?

This happened again after my first post.

After , you made a move , did you click the clock, which "sends " the move. Because , looking at the results page , for your three games, it shows that you did not move at all. You have to make your move, and then click the clock, for the move to be registered. But there is an option for the clock to be configured, so that any move you make is automatically sent.

As grevillea notes, the situation you describe is one of making a move and then not clicking the clock to send the move. Currently you are configured to use the clock. If you want to continue using the clock, you must first make the move and then click on the clock to send.
 
Alternatively, you can go to the Live Game Configuration area and choose "No" for the Use Clock option. That way the move is sent immediately after making the move and you do not have to perform the second step of clicking the clock to send the move.

Day two: Still the same problem.

Thanks for the help. I fixed it.