Ballistic refers to any kind of ranged weapons, but not skills. Only levels where you you can earn badges by making ballistic kills only, you have to KILL your enemies with ranged weapons (but not with skills. You can damage them with melee attacks, but you have to finish them with a renged attack. Note that the SMG is useless against enemies with active RX Shield.
Containers are the stuff you can brake to earn credits and hp, nothing else weapon containers are not included in the badge requests.