I Currently Own A Business With Mounting Debt. The Debt Is On Business Credit Cards. I Have Very Good Personal Credit. If I Do Not Pay A Creditor In My Business Will It Effect My Personal Credit. When I Run My Personal Credit, The Business Credit Does Not Show Up. Can The Creditors Come After Me Personally Or Just The Business.

I was in a similar situation and unless you have corporate protection for your business Yes you can be liable for your business's debt.
I was advised to form a corp. An LLC is good but depending on your type of business you may need an S corp.
Both offer the same protectoin without the double taxation of a C corp.
I have an S corp since I'm a contractor.