Problem Setting Up a New Account

I bought a new Surface 2 and went to set up a new email account under Outlook.  I already have a Hotmail email account for my business.

It kept linking the two accounts together  which I do not want.  Now they are together as aliases.  How do I get the Hotmail account to stand alone?

Another question - under security I have my old gmail account to be notified if there is a security problem.  When I tried to delete that, I was told that my account wouold be held up for 30 days and could not be used during that time.  How do I take my gmail account (which I am cancelling) off the security notification?

Thanks.