The Captain offers her favor because of how her men have behaved. If the guards attack you, and you don’t defend Beka, then she considers you a victim of a slight made under her care.
So, in her mind, she owes reparations. It has nothing to do if you help her find Beka or not, although of course, her approval is higher if you do.
Now I have to put it! 
“Oh yes, Albert dear,” you drawl as you get up in a fluid motion, standing straight. Your fingers tap restlessly along your belt until they touch the hardened leather of your scabbard. “Toss a coin to your mercenary.”
Your voice is light and casual, but your toes bounce you up and down, and your eyes are piercing as they rest on the fat old man. If he dares…
The woman yelps, pulling on her husband’s arm almost violently. “Ah, Albert! It is speaking with us,” she shrills, the sound gazing on your nerves. “And it called itself a mercenary!”
The man lets himself be shaken. “Indeed it seems so, dear,” he looks at you, his head bouncing left and right. “And I do believe this mercenary is not too happy. Not happy at all.”
still alive, 
despite being part of a risk group, so, yay!