Feed him in his enclosure. It is more stressful for a BP to be taken out of their enclosure to be fed. You are also risking a higher chance of getting a bite and for the snake to regurgitate.

You can feed your snake whenever. If Sunday is the best day for you then you can do so. I feed every Wednesday regardless of when the breeder fed the snakes I purchased.

A name is up to you. I have some BPs that I named that sounds horrible, others I think are really cool. Out of the names you picked, I guess I like Frideric the most. Ludwig second. Don't like Beethoven as there are too many out there named that (particularly dogs and cats) and I am not even sure how you would pronounce Bach...