Unfortunately, I don't think you can use the same ID. Every account has a different ID/password combination, and if you try to open a new Windows Live account, you will just get an error message saying that ID is already in use. I think the only thing you can do is to take all of the steps you can to clean up your email account.
Here's some help for you: First, I suggest you run one or two good malware scans (i.e. Malwarebytes or MSE or TrendMicro) to get rid of any malware in your email account (or anywhere on your system). Then, follow the steps below, and hopefully there's help for you there. First line of defense is to change your password and all "secret questions" and "answers." Then, if hackers have locked you out of your email, go on-line and sign up for the free service in which you give your email provider (i.e. Windows Live/Hotmail, Yahoo, etc.) your cell phone number and they text you a secret code to allow you to get back into your email. Next, when you do get back into your email, always "log out" of your email when you exit, rather than just hitting the exit X icon. Hitting the exit X doesn't end your email session, only 'logging out' actually shuts it down. If you just press exit, that leaves it available to be hacked because technically, it's still open, even after you've gone. If nothing above has helped the problem, take a look at these tutorials to see if there is any help there for you: Windows Live Solution Center:- http://windowslivehelp.com/accountrecovery Hotmail Security to Protect and Recover Your Account