Peres is a useless pimple who nobody listens to anymore. Netanyahu is the most powerful leader in Israel and is treated like trash by Obamatron.
Irrelevant. The protocol for Heads of State is for respecting the State itself, not the incumbent.
You have a combined HoS/HoG, so you don’t think about the distinctive roles on a regular basis.
Think of the HoS as the personification of the state — a living symbol of the State. Then, think of the HoG as just another politician.