Damage Types to Use:
Angel: Explosive
Amarr Navy: EM (shield) Explosive(Armor)
Blood: EM
Caldari Navy: Explosives (Kin/Therm)
Gallente: Thermal
Gurista: Kinetic
Khanid: EM(shields) Explosive(Armor)
Minmatar: Thermal
Mercenary: Explosives
Mordus: EM (shield) Explosive(Armor)
Odamian: EM(shield)/Explosive(Armor)
Rogue Pirate: EM(shield)/Explosive(Armor)
Sansha: EM
Serpentis: Kinetic
Zazzmatazz: EM(shield)/Explosive(Armor)

Damage Type to Tank:
Angel: All damage types, but most explosive and kenetic
Amarr Navy: EM/Thermal
Gurista, Mordus, Gallente: Kinetic/Thermal
Blood: EM/Thermal
Sansha: EM/Thermal
Serpentis: Kinetic/Thermal
Mercenary: EM/Thermal/Kinetic
Caldari navy: Kinetic/Thermal
Khanid: EM/Thermal
Zazzmatazz : All
Mordus: Kinetic/thermal
Rogue Pirate: EM/Explosive/Kinetic
Odamian: Kinetic/therm