'Advaita' Hinduism is close to Buddhism, and my personal views on 'Advaita' are even closer. Besides, I consider Buddha to be one of my guru.
Who lives: What lives all the time, Brahman, the sole constituent of all 'things' in the universe.
Who dies: None. Brahman is eternal, unchanging.
What is created or destroyed: No such 'thing', since the eternal Brahman is the only entity that exists.
Is birth and death 'maya': Yes, 'maya', illusion.
"Na me mṛtyuśaṅkā na me jātibhedaḥ, pitā naiva me naiva mātā na janmaḥ;
na bandhur na mitraṃ gurunaiva śişyaḥ, cidānandarūpaḥ śivo'ham śivo'ham.
Ahaṃ nirvikalpo nirākāra rūpo, vibhutvā ca sarvatra sarvendriyāṇaṃ;
na cāsangata naiva muktir na meyaḥ, cidānandarūpaḥ śivo'ham śivo'ham."
(I do not have fear of death, as I do not have death. I have no separation from my true self, no doubt about my existence, nor have I discrimination on the basis of birth. I have no father or mother, nor did I have a birth. I am not the relative, nor the friend, nor the guru, nor the disciple. I am indeed, that eternal auspicious bliss, that eternal auspicious bliss.
I am all pervasive. I am without any attributes, and without any form. I have neither attachment to the world, nor to liberation (mukti). I have no wishes for anything because I am everything, everywhere, every time, always in equilibrium. I am indeed, I am indeed, that eternal auspicious bliss, that eternal auspicious bliss.)
Atma Shatkam - Wikipedia (Six verses to enlightenment by the first Sanakracharya, also known as Nirvana Shatakam)
Is self illusionary: Yes, Self (personal) is 'maya'. Self is Brahman -
"Ayamātmā Brahma" (This self is Brahman - true for all so-called 'selves'). - Mandukya Upanishad
Who is reincarnated: All forms are Brahman -
"Sarvam Khalu Idam Brahma" (All things here are Brahman). - Chandogya Upanishad
"Yathā, Saumya, ekena mrit-pindena sarvam mrinmayam vijnātam syāt vācarambhanam vikāro nama-dheyam, mrittikā iti eva satyam." - Chandogya Upanishad
(For example, O Polite Enquirer, by knowing one sod of clay all that is made of clay is known, in the same way, the different names are but distortions in the scheme of giving names, the fact, verily, is that it is clay only)
Ultimately, is all of this drama none other than Brahman playing itself as the world, including the 'play' of reincarnation, karma, birth and death?: Yes. And that is me,
"Aham Brahmāsmi" - (I am Brahman). - Brihadaranyaka Upanishad