Is it one ticket & booking, or two separately bought tickets & bookings? The answer to (1) and (2) will be different depending on that.
If one booking & ticket, then (1) is yes, and (2) will be piece system (2 x 32 kg)
If two bookings, then (1) is yes to thru tag of bag (if you show proof of onward confirmed booking) and "maybe" to boarding pass, and (2) will be 20kg.