If that's the cage that the link takes you to, yes there are 3 food doors as well as a breeder door.
That's a big cage for a little quaker but I'm sure it will do nicely. The 5/8 inch bar spacing is good. It will definitely give you lots of room to put different types of perches at many differnt levels and if you teach your bird to forage throughout the cage then he will definitely get good exercise.
My only concern for myself would be the hieght and depth of the cage...Since I'm not real tall I would have a hard time getting the bird off the top of the cage if he chose to go to the top of the dome and to the back. I'm not opposed to using a step stool however.