Wasn't Lewis an Anglican?
Yes, he was.
Yep. Interestingly, he was an atheist in his early adult life. Here's more from Wikipedia.
Although an atheist for the early part of his adult life, Lewis began investigating the claims of Christianity during the twenties. In 1929 he came to believe in the existence of God, later writing "In the Trinity Term of 1929 I gave in, and admitted that God was God, and knelt and prayed", describing himself later as "the most reluctant convert of all time". In 1931, influenced by his friend J.R.R. Tolkien, he became a Christian and a member of the Church of England. He was later to write an account of his journey of faith under the title Surprised by Joy.