You can check online (click the Swan/Dolphin icon at the top of this page). Go to reserve a room, put in your dates, and in the "Special Rate Plan" section, the drop down box will show: AAA; Government Employee; Promotions & Packages; Senior Discount. The Teacher Rate is the same as the Government Employee rate so that's probably the Nurse Rate too.
You can call Swan/Dolphin reservations directly at 1-888-828-8850. Even if the website shows no special rate availability for your dates, call the 888#. I always check online first, but book thru their toll-free number. And if a better rate becomes available, you can call them and they will apply the lower rate to your dates!
Unfortunately, no. No Dining Plan, no Magical Express, no charging park purchases (or other WDW resort purchases) to your room. Other than that, it's all good!