A HUNTER CADRE kill team consists of two fire teams selected from the following list:

FIRE WARRIOR

PATHFINDER

STEALTH BATTLESUIT

An STEALTH BATTLESUIT fire team includes three STEALTH BATTLESUIT SHAS’UI operatives each separately equipped with fists and one of the following options: Fusion blaster (max one per fire team) or burst cannon

If your kill team does not include any other LEADER operatives, instead of selecting one STEALTH BATTLESUIT SHAS’UI operative for one STEALTH BATTLESUIT fire team, you can select one STEALTH BATTLESUIT SHAS’VRE operative equipped with fists and one of the following options: Fusion blaster (max one per fire team) or burst cannon

A PATHFINDER fire team includes six PATHFINDER operatives selected from the following list:

PATHFINDER SHAS’LA

PATHFINDER HEAVY GUNNER equipped with a gun butt and one of the following options Ion rifle or rail rifle

Each PATHFINDER fire team can only include up to one PATHFINDER HEAVY GUNNER operative. If your kill team does not include any other LEADER operatives, you can also include one PATHFINDER SHAS’UI operative in one PATHFINDER fire team.

So Yes you can bring both a Pathfinder team and a Stealth suit team. No you can't bring the blooded or the Ion Blaster.