Hello bjm and Goose, welcome to the forum. Everyone else has given you all the recommended suggestions but I just wanted to add that you don't need to pull the broken tail feathers, they will fall out on their own very soon as Goose preens. The only time a feather should be removed is if it is a blood feather and won't stop bleeding.
Poor little Goose, he is probably just uncomfortable from his first major molt. He could also be chewing his feathers- has he experienced any major changes in routine or environment lately? Whatever you do, don't react if you see him pulling out feathers or chewing them. Don't give him attention for this or he will learn to associate it with getting attention (which greys truly love!). Try to ignore the behavior and when you see him sitting calmly not picking at feathers then praise him and give him lots of toys to distract him from further damage. I wish you the best of luck!