It must be the game!
The blue light in front of the Wii only blinks when it is turned on, the light doesn't stay lite the entire time.
The Light, however, will stay lit when nintendo has sent you a message. That is until you check the message.
But the games freezing in the same spot sounds like a game bug and not the system itself.
I bought Fanatastic Four some months ago and it has bugs in it as well. I never had a chance to beat the game because it has a glitch.
You should take it back to the game store to see it they can exchange it. Then if the problem persists then it just maybe another problem.