My 5 month old Quaker has not said a word besides quakes

First it's important to remember that he may never talk. Not all Quakers talk, it just depends on the bird.

I can tell you that you have made a lot of progress in just 2 weeks.

If you are having trouble getting him out of his cage, try reaching in with a stick and have him step up on to the stick. He could still be unsure of your hands. Gradually start holding the stuck closer and closer to the end where he steps up, and over time he will get comfortable enough that he will step right up onto your finger without hesitation.

You'll want to remove any non pellet food bowls each night. He should always have pellets available in his cage, at all times, as well as clean water.

Fresh fruits, fresh vegetables, these are both safe bets for foods to share with him. Things to avoid include chocolate and any other food/drink with caffeine, and avocado (this can kill your parrot!). Along those lines, if you haven't already, ditch all your teflon cookware - that kills parrots as well.

Honestly the best way to teach him to talk, in my opinion, is to spend lots of time with him and talking to him. Repeat words and phrases you want him to catch onto often, and reward and praise him for even the slightest improvement. When you do finally hear him attempt to say something, get very excited, give him praise and a treat, and immediately repeat back what he said, as clearly as you can. He probably won't talk clearly at first, but he will get there! You may also find that he will practice his voice when you're not in the room (or at least he thinks you aren't around).