It's not like any of that is within his power to give anyhow--and if it was, why wouldn't he just keep them for himself?
She doesn't solve his problem. He's going to die soon and he doesn't have an heir--even if he conquers the whole empire, then what? It all falls apart. Some crazy girl who's going to die around the same time doesn't solve that, especially if what she wants requires killing the only plausible heir-designate he has available. And let's face it, he couldn't even make a stab at handing her the Dragons or Hak without offing Yona first . . . and if he managed that, he would briefly have problems much swifter in their execution than the sickness.