Yes you can get Zapdos in Pokemon Heart Gold.
After you get all 16 badges go to the power plant and Zapdos will be waiting there for you. He is at lvl 50.
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Yes, all 3 of them (Articuno, Zapdos and Moltres) will be in Pokémon HeartGold and Pokémon SoulSilver.
no
After beating the Elite Four and all the gym leaders in the Kanto Region, go to the Power Plant (in the Kanto region) near Lavender Town and Zapdos will be right outside. :)
You can't. It must be transferred from either red, blue, or yellow. HeartGold And SoulSilver too
The cool legendaries you can get in Soulsilver/heartgold are the following: Lugia, Ho-oh, Raikou, Entei, Suicune, Articuno, Moltres, Zapdos, Mewtwo, Latias, Latios (Latios in Soulsilver & Latias in Heartgold), Kyogre, Groudon, Rayquaza (Kyogre in Heartgold, Groudon in Soulsilver & Rayquaza if you have both).