Bound Hero Battle: Alm & Celica

This is a simple 5 star team. Nino is the green mage that needs buffs from Erika to get the job done. If Nino has at least G Tome Breaker 2 when you all the units to the far left of the screen, this will lure out the blue tome user due to the green AI tome user not wanting to deal with it. If Azura is blocking the center after Nino gets rid of both the green and blue mage, then she can tank Alm's attack as the green Pegasus Knight will stand behind Alm for support. That unit should be the last one. If Celica tries to go around to hit your team, heal up before you have Azura and Nino with you. If Azura has Moonbow charged, she should be able to take out more than half of Celica's HP. A buff Nino with Fury 3 can finish Celica off without dying herself. Azura needs Speed + 3 for her A skill and Speed + 1 for her seal in order to not get doubled by buffed Alm when defending. Once Alm is gone, quickly move Erika in front of the green Pegasus to finish it off. Erika having Swordbreaker works for the turn you move Azura to attack Celica as Alm can't one-shot with this and doesn't allow the Pegasus Knight to move. Heal when necessary and you should finish the trial with no real problems. If Priscilla has Fear or Panic, then killing Alm will be even easier if she's not healing that turn (-6 attack or reverses the speed buff Alm gets).

Hector
Reposition

Cordelia
Death blow 2
Galeforce
Drag back

Olivia
WoM
Hone attack

Celica
Draw back
Life and death 2
G tome breaker

Hone attack on celica and have bait and kill green mage, keep hector on left to bait blue horse mage after it breaks the block. Cordelia on right to take out blue horse lancer. Galeforce Should activate allowing you to get to safety. Celica kills green flier in 2 hits with dance. Cordelia can reposition her to the right to a safe spot. Hector swaps with Olivia so he is safe. Which will put Olivia in danger, she WoM and dance celica to draw back hector. Celica kills alm next turn with dance. Cordelia kills celica next turn with dance.

Xander - Siegfried,Defense 3, Quick Riposte 2, Hone Cavalry
Swap, Bonfire
Minerva - Hauteclare, Life and Death 3, Hit and Run, Ward Fliers
Sacred Cowl
Ursula - Blarblade, Death Blow 3, Red Tomebreaker 3, Fort Cavalry, Reposition, Chilling Wind
Olivia - Silver Sword, T.Adept 1, Wings of Mercy 2, Hone Attack 3
Dance, Eschutcheon

First part is to break the wall with Minerva, Olivia dances her to safety.
Next turn will be positioning Olivia in the bottom left bridge with Minerva on top of her, Xander acts as bait for Green Tome, with Ursula under him.
Next turn after Green attacks, Minerva Proceeds to rid of Blue Tome Cav, falls back with Hit and Run, Olivia dances M back to the bottom bridge, Xander and Ursula are to be placed at the left where the enemy range doesnt reach.
Next turn, Ursula hits Alm and beats him, O dances U under her, U repositions O to the right, M flies to the bottom right, Xander is to be placed at the bottom left
bridge, Blue lance hits him, he lives at 4 hp, (make sure he gets buffed by Ursula's Fort Cav!)
Next Turn Minerva wipes out Blue Lance, and Ursula doubles up on Celica, taking her out, Olivia then warps to where Xander after he is placed to the left of the map, away from the greens. Green tome and Axe Peg come out to after you on the right entrance.
Next turn, Xander can attack the green tome, with some assistance with Olivia, Ursula hits the Axe peg, make sure the reds are placed where the peg cant reach Ursula, peg knight goes for Olivia, gets beaten by Olivia for Victory!

Hope this helps.

This team is good for hard and lunatic modes (infernal is literally impossible for this team). This team does have reasonable heroes without dancers or any s+ heroes, so don't worry about that. You probably have a 4* of one of these heroes. Anyway, here's the strategy. You're going to want to put Katarina next to Eirika at the beginning to give her some speed. Put her on the wall where the green mage can attack her, but not the blue one. With Mist, break open the left wall so that the blue mage either attacks her or Soren. Eirika should be placed next to Soren for the start of the next turn. Now, eliminate the blue and green mages while healing with Mist. Celica should attack Katarina this turn (if not the next turn) Which will make Katarina's glacies activate and do massive damage. With alm at your side, deal with him will all of your magic users, while keeping Eirika and Katarina together, with Katarina up against the wall. This will cause celica to attack Katarina, leaving her at very low health. (Forgot to mention the Lance cavalier, just use Soren to take him out.) Celica will be the last one left, which you can use Katarina to take her out. I know it's kind of vague, but that is my best outline I can give to help you beat the lunatic mode well. I hope this helps you out!