It's great to remind them as many times as possible but they may or may not do anything at all. Also if you want a king bed room make sure you call and request that. They have very few of them that are not set up for handicapped guests so it's very hard to get one.
OP make sure you tell everyone it's your honeymoon. Do it when you make ADRs and also when you actually arrive for your dinners. My best friend went on his honeymoon and they received "honeymoon" buttons at check in. They were given free desserts at almost every restaurant and sometimes got little freebies from different stores if someone noticed the button. It can't hurt to tell anyone about it.
Let them know, but please do not count on getting anything. You don't want to set yourself up to be disappointed. You may get an upgrade or free treats, or you may simply be wished Congratulation on your wedding. You never know.
I don't know if Disney still does that but before we went on our honeymoon, we had a Honeymoon registry where friends (and ourselves) could "buy" things for our honeymoon. In the end we got a Disney Gift Card with all the money to buy what we wanted.
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