Backups are your responsibility. The terms also state your free account must be an actual website not for polls gallories etc. That doesnt mean you cant have them on your site but they cant be your main purpose for the account.
I dont know Spanish well but the best I can gather you have not logged in for at least 30 days via x10hosting.com/login. If this is the case your hosting may have been terminated.
FTP login is the same as the control panel. If you dont know your password login to x10hosting.com/panel click on Services then Change Password. Note that this will change your password for the cp as well.
If you are sending that many emails use SMTP instead also be careful with sending mass emails your account may get flagged for abuse. The limits are in place for security.
If it has been over 30 days since you logged in your account would be suspended. Then it gets deleted after the suspension period is over. As far as getting an email I am seeing that issue as well.