No, its not a proper noun.
No, "anthropology" should not be capitalized unless it is part of a title or at the beginning of a sentence.
Your would be capatalized, but son would not. : Your son,
No, bebop is not capatalized.
Yes.....
"Your birthday is on a Sunday next year." The prepositional phrase in this sentence is "on a Sunday."
Yes.
No, because it isnot a propernoun.
Yes it should be capitalized.
"Your birthday is on a Sunday next year."The prepositional phrase in this sentence is "on a Sunday."
"Sunday is a day to relax and recharge before the start of a new week".
Because Sunday is a noun, and, by definition, an adjective is used to modify a noun, all that needs to be done to use an adjective in a sentence with the word Sunday is to choose a desired adjective and use it to modify the noun "Sunday". For instance, one could say "A gloomy Sunday." Or, "A busy Sunday."