you beat the elite four and then go go to the cave next to cerilion city. deep inside it you will find mewto at lvl 70. lower its health and put it to sleep or parilize it and be sure to have lots of ultra balls
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mewtwo
Mew can't be catched in Pokemon heartgold, only mewtwo.
The Odd Incense can be found in the Cerulean Cave along with Mewtwo himself.
Do you mean Aura SPHERE? The following Pokemon learn Aura Sphere in HGSS: Mewtwo, Mew, Lucario, Togekiss, Dialga, Palkia, and Giratina.
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).