When you purchased from Disney you owed dues for the calendar year pro-rated from date of purchase (you don't pay for the days or months in the calendar year that are before your date of purchase). When you purchased you should have been given the option of paying dues monthly, as long as you do automatic withdrawal from your checking account. or just pay them all for the year as part of the closing of the sale. If you chose the former, you will start having monthly amounts taken from your checking account likely beginning in April but it could start as late as May depending on when the closing actually takes place. If you chose the latter, you would know by now whether you actually paid your dues. That and the fact that web-site shows you still owe dues leads me to believe you signed up for automatice monthly withdrawals from your checking account.
As to what you get after closing, you will get a deed and other closing documents in the mail probably sometime next month if closing was this month.