Now i configured my sql server to accept remote connexion from the internet and everything is ok, i can connect to my database from management studio through internet :
Remove the instance from Internet immediately! And never have a blank password for sa! As a matter of fact, I would recommend that you uninstall SQL Server and take your computer to the cleaners. It is very likely that it has been infected already.
As for why you get that error message, the answer is probably that you are connecting to a difference instance that you think you are connecting to, and at least this instance has a password for sa. But that is your smallest problem right now.
I very strongly recommend you not to expose SQL Server on the Internet!