Dan will probably give you a much better advice. There aren't that many options.
You can't just play dumb when you already have account(s) opened and one of them being a business so you would know the difference between corporation types.
You can't say you've never received the car when you've been tagged with an activation attempt.
Claiming you made a mistake and instead have a sole proprietorship with 20 employees is... Well... How ridiculous do you think that sounds? A company that size would be incorporated.
You can claim a second mistake on the employee count... They might let you off the hook. If they don't and ask you for your k1 you may be able to say that you just started this year and have not yet filed for that business.
Whether any of that puts your accounts on the radar or leave you in the clear... Well that's you and your luck.
Closing your account without even having used it may even be better than just not doing anything beyond this point with the account.
All I can tell you is that American Express has been tightening its belt and isn't as lenient as they were.
I have had my accounts for years with some I churned. I have been trying to move a credit card line from my hilton to Starwood and they keep denying me because my hilton card is less than a year old... It's actually 360 days old and they will make sure I wait till day 365 before I can request a credit line reallocation....
I know this doesn't really point you to any one direction, but I'm sure someone will comment