When a Trap Card or the effect of a Trap Card is activated, and "Call of the Haunted" is chained to Special Summon "Jinzo", then the first Trap Card is negated. This is becuase "Call of the Haunted" resolves first and Special Summons "Jinzo", then "Jinzo" begins negating Traps, then the first Trap Card would resolve (but it is being negated by "Jinzo").
Drill Warrior: The resolution of "Drill Warrior" which removes it from play and the resolution which has you discard one card from your hand are considered to occur simultaneously. Thus, if you discard "Jinzo - Returner" with this effect, then you can Special Summon "Jinzo" from the Graveyard.
Previously Official Rulings
These TCG rulings were issued by Upper Deck Entertainment and have since been deemed unofficial by Konami. They were previously considered official and can still be correct, as long as they follow the official gameplay rules, or unless Konami has issued a ruling that says otherwise. References: 
Prohibition: If "Jinzo" is declared by "Prohibition", the effect of a "Jinzo" that is already on the field is still applied. If a "Jinzo" is Special Summoned, it "cannot be used", so the effects of Trap Cards are not negated and Trap Cards can be activated.
Rivalry of Warlords: If you have 2 monsters on the field face-up of the same Type, you cannot Tribute 1 of them for another monster that is a different Type (even "Jinzo") as you would then have 2 different Types.
↑Konami Judge Program Rulings are considered unverified, as their source(s) are not publicly viewable. They are not confirmed as applicable to the TCG until they have been officially published by Konami.