I just joined RHP about three days ago. I started four games. One by challenge
and three by invites. So far every time I login it shows that no one has moved,
except for the game I started where I'm white and I moved frist. I have recieved
one reminber to move so far but like I said it doesn't show that it's my turn.

Is there something that I have not done yet?

Look at the wording in the horizontal red bar at the top of the screen -
how may games does it say are awaiting your move?

It says that '0 Games Awaiting Your Move'. I have four games started.
The ID's are 27665,27492,27448,27423. On 27665 I have been sent
a reminber that's it is my move!! Thanks for any help!

If it says no games awaiting your move then that's waht it means. You
will find that lot's of people put up an open invite and if no one
responds immediately log off and forget about it. Tell you what - I'll
challenge you!