If you plan on going Bishop with Carlie, then Warrior Monk might be a good pick complete Bishop's Def Up with Mind Up and Power Up (also Mind Up + Magic Shield makes Bishop's Heal Light very strong), Warrior Monk provide also Power Down and Speed Down as well as Leaf Saber for MP management, if you do that your team need a debuffer with Mind Down and so excluding Invert Armor here's what I would considere :
-Arch Mage : Seems like the best pick here, it would provide you with Mind Down and Anti-Magic, also provide magic damage which Bishop + Warrior Monk lack and Bishop with her Sabers can increase her damage (except for Dark), also Aura Wave in case you want to build Warrior Monk as a tech user.
-Dark Hawk : Either Ninja Master or Nightblade, Ninja Master would provide all the MT debuff, his unique detect debuff, could have a good synergy with Bishop since Bishop's final improve her LV1 Tech while Ninja Master can force the counter state to improve LV1 tech damage even further, Nightblade on the other hand bring Black Rain as a good screen cleaner (especially with the Curse Upgrade) or his LV3 Tech, also Deadly Weapons to reduce boss's Max HP.
-Dark Lise : Either Dragon Master or Fenrir Knight, Dragon Master seems the best pick for me Anti-Magic spreading weakness would make up for the fact Bishop can only exploit one element, Dragon Master also bring Lunatic for boss fight, Fenrir Knight could be interesting if you're good with counter for managing MP but you already have Leaf Saber for that, in any case Lise would also provide a shield use meaning she could draw the aggro on her, which is especially interesting for ennemies that cast Magic as it's almost guaranteed that she will be the target so you could prepare for it as a result.
As for a team of Hawk and Lise well the easiest way would definitly to go Light Lise and Dark Hawk nothing can go wrong from having all Buff and Debuff then it's really up to you you can implement any character in it :
-Duran : If you go Vanadis with Lise then go Dark with Duran Swordmaster provide every Sabers, a good FST LV3 Tech and Energy Ball (can be good with a crit build Hawk), Duelist lack Moon and Light saber but provide Anti Magic and Aura Wave and arguably the strongest LV3 Tech in the game. If you go Star Lancer with Lise then Light Duran might be better, Paladin is a very good healer that has Anti-Magic and Magic Shield and later in the game has a very good AoE with Turn Undead, Lord would goes well with Star Lancer's Aura wave and his LV3 Tech could provide a good counter base strat with Hawk.
-Angela : Like Duran every classes would be good here however she almost force Lise to go Vanadis and either way you will not get Heal Light before the second class change, Grand Divina would bring the 6 main Sabers later in the game, she would be a good teammate for Vanadis as she having Heal Light and Tinkle Rain would free Vanadis from the healer role and her giving sabers would have a good synergy with Vanadis's Final Weapon and summons, can also pull off the Shield + Transshape combos with Lise, Arch Mage's spell damage are still very great as well as Anti-Magic and Aura wave, Rune Master's bring statut Effect quite good for Crowd Control and the 4 main Sabers good for Vanadis and exploit weakness in general and Magus get Lunatic and late game is potentially the best screen cleaner on top of having Dark Force to make use of the curse effect.
-Carlie : Light Carlie is best for me either Bishop or Sage, allow Lise to go Star Lancer or free Vanadis from healer role, Sabers in both case are good, either passive healing from Sage's final weapon or Mind Up + Magic Shield for Bishop for healing, one advantage of sage tough is being able to exploit Light and Dark weakness might be more appealing since you already have Hawk for Fire, Ice, Air and Earth. Dark Carlie mean Lise would have to go Vanadis to get Heal Light however since both Necromancer and Evil Shaman gives the 2 main Debuff (Power Down and Mind Down) this would allow you to go Light with Hawk and get either Rogue for a powerfull caster or Wanderer for all utility spell.
-Kevin : Light Kevin can be build as a good healer whou can put some punch, God Hand can boost healing power of either himself or Vanadis with Counter Magic, he can be good for a counter base strategy with Ninja Master, Warrior Monk can assist Light Lise for setting buff with Power Up and Mind Up and also have Leaf Saber for MP management. As for Dark Kevin I think Death Hand would definitly be better than Dervish, Death Hand is a very strong physical damage dealer who bring the Sabers and Lunatic, and potentially best character for LV3 tech user as he can ehance himself with Aura Wave, build his Tech Bar in no time thanks to Double Hit and his LV3 Teh as base boost which stack with Wolf Form, Saber, Power Up and Def Down.