"Declining his sexual advances costs influence." If the influence results in romance potential and you dont want a romance...why would you care if you lost some?
"Also, why am I being propositioned by companions when I have not made any overtures toward them." If you are male, perhaps you are not used to it. Happens to women all the time. And some males. I am male and I have been "propositioned" by both genders without making overtures and at times when I wasn't thinking I was attractive either. <shrug>