Unable to close Hotmail account

I have been forced to create a new hotmail account, because my original account had been hacked.

After a week of going round in circles requesting a new passwords, receiving security codes that did not work I had enough and set up a new account.

I have just tried to login into skype as I have an interview tomorrow and it will not allow me to sign in, and takes me back round in circles with my old e-mail address which I CANNOT access.

I cannot shut the old hotmail account either because I cannot login to it, which is why I set up a new account.

I would like to start fresh with my new e-mail address however microsoft keeps taking me around the houses with my old e-mail address, with notes popping up saying "someone's trying to access your account!" which I know and that is why I have set up a new one!

I would like to set up skype to my new e-mail address and delete my old e-mail account, how do I do this? please help me, it is urgent.

Thank you.