I'd love a list of what all the traits mean. It also might be interesting to have certain traits be incompatible or make it harder for a relationship to form.
The kings and the pawns are similar in their strengths, there should be a way of balancing that. I think pawns should be weaker but with with the ability to become stronger. For instance, making the movement as in normal chess, but if they reach the other side they can gain one random trait.
A very interesting game for sure!