Welcome to YT!
And congratulations on your new little boy. I'm happy to hear you took him to the vet for a check up right away.
What kind of food has he been eating? You'll want to keep him on that for a while - at least until he settles in and gets comfortable in his new home. If you decide later to put him on a different food, transition him slowly. Changing foods too fast can upset their tummies.
You sound like you're on the right track with the neutering and doggy school. We'd love to see some pictures of Corky whenever you have time to post them.
Enjoy!
Bonny
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He is your friend, your partner, your defender, your dog. You are his life, his love, his leader. He will be yours, faithful and true, to the last beat of his heart. You owe it to him to be worthy of such devotion. -- Author Unknown