Facebook closed my account saying it thinks I'm a page for a business but I'm not. how do I get back my facebook page?

On the facebook login page there is a link at the top of the page saying 'Forgot account?' - click this and you can start the process of choosing a new password for your Facebook account. It takes no more than 5 minutes and is quite easy to do.

The link below will take you straight to the 'Forgot account' page: https://www.facebook.com/login/identify?ctx=recover&lwv=110

There are no business accounts. Business pages are created by having and existing personal account, then adding the page to your personal account.
How to Create Facebook Business Page in 5 Simple Steps Tutorial

The only way to delete it would be to log back into the non business FB account (when you're logging back in, it reactivates the account). After that, you want to go back and delete the business account.

how to video

Point your web browser at http://www.facebook.com

If another account comes up, log out of it by clicking the down-pointing triangle in the upper-right then clicking "Log Out."

If you then still can't log in to your account, click the "Forgot your password?" link located just below the password box on the login page.

If you're getting an error message, what does it say?

your presumption is almost right jut that the personal account cannot be deleted just deactivated, to create a business account
please follow the link
http://www.facebook.com/pages/create.php?campaign_id=372931622610&placement=pghm&extra_1=0

Fro my research on your topic it seems a lot of people have had the same problem. I also read that Facebook took this feature option away.
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Want to set up a business presence on Facebook but don’t want to have a personal presence? No problem! A little known feature of Facebook is the ability to create business accounts. However if you already have a personal account, keep in mind that you cannot create a separate business account. However if you would like to avoid setting up a personal account and would like to keep things professional, you can take a few steps to get things configured.

From the business account you will be able to manage Facebook advertising campaigns as well as Facebook Pages. In order to get your business account set up, all you’ll need to do is create a Facebook Ad or create a Facebook Page. After you’ve created the page or advertisement, Facebook will ask you to enter your login information or the option to select “I do not have a Facebook account”. At that point all you need to do is enter your business email address and date of birth. That’s it! Now you have a business account on Facebook. One thing that you should keep in mind is that if you have a personal account and go through this process, there is a very good chance Facebook will shut down both accounts. In other words: don’t create multiple accounts. I have received multiple emails from people that don’t want to set up personal accounts though so for those individuals that have not explored Facebook, you can proceed to set up a business account.
While I think advertising on Facebook or creating a page doesn’t make much sense without thoroughly understanding how Facebook works, the company has at least provided the option for those that don’t want a personal account.