It would help others help you if you put your planting zone next to your screen name. Only a couple apples grow in my zone, and they don't look like yours. We spray with neem oil when dormant. I'm no expert on apples, but your leaves don't look very happy either.

I see some apples on the ground. If you leave those there, they will rot and encourage more pests. I'd keep fallen fruit raked away and put in the compost heap.

I mainly answered just to get you some action on this thread. Hopefully the experts will tune in.

Hard to say what type of apple you have, it very well could be one that grew from seed and the fruit inedible.

You definitely have a codling moth problem, just google it for many different control methods.

Codling moth traps won't control the worm, they're just used to let you know if they are present and the moth first flight so you know when to start spraying.