Based on your counter, it looks like you are going to WDW somewhere around Feb. 18. That is peak season. If you could check in on Feb. 15, you could save over $800. (You pay the room rate applicable at check-in for your entire stay.) Also, if you got a standard view room, you could save another $429. Also, if the kids you are taking are the ones in the photo, one is not a kid to Disney, so you are paying for adult meals and tickets.
The big difference is room rate $365 vs. $260 for Courtyard view and $299 vs. $205 for Standard (plus the old 11.5% tax)
Play around on the website if you are able to leave a few days earlier. It could save you tons!!
Another idea would be to check in earlier, stay until your current departure date, and get longer tickets which would only cost about $16 more for 8 day hoppers. You would have more expense for the meal plan and room, but the total would be around $4500 with a standard room.