1. we let our OL bring her back on the exit like the heros can return on the entrance, but this was after a bit of an argument between us all.
2. we carried over health between encounters as you do with heros.
1. Lieutenants are treated as monsters. If Eliza could come back, the quest guide would mention it in the details.
2. So, in your game, if the heroes managed to kill Eliza in encounter one, you would carry over her death and auto-win encounter two? No, any damage done to Eliza is not carried over to the next encounter.