Yes, I get a kick out of drunk Eli, too (we've @Rambling Robin to thank for that) . Oh, there's nothing wrong with Omegas finding humans as mates, it's fairly common. Both weres and vamps adore humans. Vampires are willing to share their humans, but the werewolves are not. Khonsu has them paranoid that the vamps will turn the humans (which they only ever do with consent, or else Anubis would come down on them, it's about their only rule to respect humans). I went off on a tangent. The point is that Omegas can have humans for mates and we will see more examples of that later on. If we talk about healing and peacemaking, Elias and Pax have that literally covered. Inner peace and the need for healing, however...
And, yes, Eli will apparently bite them so hard they will cry. I love those lines.