[RPG] What bonuses do I get to Implement attacks when I use the weapon as an implement

Player's Handbook 2 (page 219): Some powers allow you to make secondary (or even tertiary) attacks. A “Hit,” a “Miss,” or an “Effect” entry tells you when to make a secondary attack. Unless otherwise noted, the attack type and the range of a secondary attack are the same as the power’s, and the secondary attack doesn’t require a separate action. Some powers give you the ability to make a secondary attack at a point later in an encounter, after the initial effect takes place. These powers include information about the secondary attack’s action type, attack type, range, and effect

Emphasis is mine. From this text, since Chaos Bolt has the types Arcane, Implement, and Psychic, it follows that any secondary attacks that do not specifically say otherwise are the same.

As one of the types of Chaos Bolt (and therefor its secondary attack) is Implement, he should be entitled to all the benefits of using his implement for the attack, including the standard enhancement bonus to attack and damage. Using the same logic, the secondary attack is also Arcane, so any benefits to arcane powers that have all requisites met should also trigger.

No, superior implement bonuses only apply to powers with the Implement keyword.

From PHB3, page 195:

A superior implement's properties apply only to attacks made with the implement. They affect only implement powers, even if an implement can be used to make weapon attacks.