If after auditing my records

Are you auditing your files, or is the credit card auditing your account within their system? Is the account delinquent?

If the account is in arrears, and there are no errors in their accounting, it can show up as a derogatory mark on your credit.

A Lawyer would be auditing my files and the account is not delinquent.

Are you disputing the amount you owe?
Are you attempting settlement?
I don't think a dispute will cause a negative mark on your credit, nor would requesting detailed account info.

Can Hess Kennedy company really settle my credit card debt for 55 cents on the dollar with no negative effect on my credit even though I'm not delinquent on any accounts.

You've heard the saying "If it sounds too good to be true..." There are mixed reviews on Hess Kennedy, and I won't diss them because I haven't actually dealt with them.

I'm guessing Hess is auditing your files, and told you they would send all sorts of notices your creditors to make sure they comply with all the laws. It is very unlikely your credit card will agree to a 55% settlement. In the odd chance they do, they will undoubtedly put a comment on your credit file that says the account was settled for less than full balance. That comment will lower the credit score.

As would the accounts that go into default, unless HK is able to negotiate the removal of negative information from the CR.