so things are more clear now. you owe american express no money. you mentioned the case was discharged in 2002, however american express will look at it this way - you charged money on your blue card, with interest it added up to 1600 and you filed for bankruptcy.
the only american express I would suggest to you is the lowest level card which would be the clear card
It has been 9 to 10 years since the situation happened. you could wait a few years if you wanted to or you can try for the clear card.
now let's look at how you like your Discover and which design do you have? I have the black and my membership date is 1998.
so you have a sears charge, a capitol 1, a JCPenney's, a household bank, a chase card and a US Bank. to be honest with you since you have 5 credit cards (2 might be a joint account but you can still use them). you have 2 charge cards, have you looked at any or all of your credit reports to see if the bankruptcy is still there? If it is, I would suggest you keep all 7 cards and don't bother on applying for that clear card. if it's over you can try or you can wait to apply for it.
The reason you get no incentives on the company card is because they pay for all of your travels. since you do travel for business, talk to your supervisors and ask them what credit cards they want you to use. you may be able to get an American Express card this way. they may say you have to stick with what you have been using.
I agree everybody should have at least a Visa/Mastercard, Discover and an American Express.