The words new and novice derive from the latin novus (new), which in turn is related to the greek adj νέος (new; neos). The word neo- (new; neo) is also used as a prefix in many words such as neolithic, neologism, neophyte, neoplasm, neoplatonism etc.
From the same root:news, novelty, novel, novelist, nova, neon
In Greek. α) νέος: new, young, modern [neos] β) νεότητα: youth, early years [neotita] γ) νεόφυτος: newly baptized, novice, neophyte [neophytos] δ) νέα: news [nea]
I just wanted to point out that you are mistaken about the English word new being derived from Latin novus. Of course it is related, but it does not derive from Latin novus, or from Greek neos, anymore than one derives from Latin unus. These words are simply cognates. Neither “derives” from the other. I like your etymologies. But I think you need to be more careful about such things.
True point. A derivative is a word that comes out of the other language, a cognate is a word that descends from the same ancient word as the other… so new derives from the same ancient word that Latin novus and Greek neos do.