By all means, I highly recommend that you go the official reservations site
here and see what is available for your trip.
Contrary to popular belief, you can book reservations this close to your trip. You might even get some decent times and restaurants, depending on what you're looking for and where you're looking.
I took a glance at dinner hours for your arrival day, and there are still a lot of good times and spots left. For instance, you can get into Citricos at 7:25 PM right now and Jiko at 6:20 PM. If you're looking for a good buffet, there's a Boma spot still available for 7:30 PM.
Kona, Grand Floridian Cafe, Kouzzina, Chefs de France, Hacienda, Narcoosee's, Rose and Crown and many others worth checking out still have availability on the third with genuinely good times, including most of the signatures.
So, yeah, definitely get on the online reservations site and check out what's available to you. You can find all of the menus for those restaurants on Disney's dining website, as well.