Here I am again, then.
Edit: How do I make the player stop playing on all other pages?

I am not sure what you mean by "to make by clicking on "stop"".
I think you should address this question to Radiojar.

Sorry, I'll try to explain better.
How do I make the player stop playing on all other pages?

I put the auto-play on the player, and when I change the page he plays alone.
I wanted to click stop (on the first page, for example) and he save this configuration on the other pages as well. Is it possible?

Depending on your implementation.

If Radiojar supports it, yes that is possible. If you are using another vendor you can ask him that. It is possible that they will support a cookie based play/stop .