I was rejected the first time using my current name. I chatted with customer service and asked him if I should put in my maiden name and he told me to try it. I did and it worked. Thanks for letting us know about this nice discount.
A note comes up when you've been rejected, with an email address to use to "fix" problems... forget it... no such address.
I just successfully used the discount. First, I added myself as a Prime "household member" to my wife's account (never did this before because we have always just used her account to order stuff and I don't read ebooks). Then I submitted my information. For date of separation, I used the date on my DD-214, even though I was in the Individual Ready Reserve for 6 years after that. It was instantly accepted and a discount renewal was put in the cart. Then I clicked on "submit order" and it was done. I just checked and saw that the renewal date is now extended by a year.