Geez, you ask a lot of questions!
Q.) If your account gets suspended, is there any way to keep your old business name out there for customers without giving eBay and your competitors a sure target if you sell the same stuff under different names online?
A.) Not really. You could try but like you said, eBay and your competitors will notice and will be on your ass.
Q.) And if you put any of your old email addresses in your new auctions, should you expect eBay to notice that and then close out that account soon too?
A.) Yes, do not use old email address, especially ones leading to your website if you have one. For example
email@aspkin.com … This is a big thing, don't risk it.
Q.) Does eBay have people that monitor search engines and look for that sort of thing?
A.) Not that I know of.
Q.) Is it a good idea to not list the same things on both at the same time?
A.) Not sure what you mean here.
Q.) Do you recommend a drastic difference between how your web page looks and how your eBay user name auctions look?
A.) It doesn't matter. EBay will not look into this.
Q.) Or is that just taking paranoia to a whole new level?
A.) That's paranoia!
"Starting over with zero feedback, it may take some time to build buyer trust again with a new account, and if you have any suggestions on making the transition easier, I'm all ears."
The best thing to do is to create professional looking auctions that answer all the questions before they're asked; and gives the buyer a time frame on delivery and expectations. Make your auctions bright as to pass a clean, professional, and organized auction. White and blue work well together. This will help ease potential buyer's doubts with your feedback. Don't list more then 100 auctions a day, but with the more auctions you have out there, the better you'll do. Do this only when you have 5-10 feedback.