Yes, Hadi can have mates -gasps-
No, not all of them our created by the dictator.

Young:

Hadi young are born as eggs, like griffins. The eggs can range from 1-4. In these eggs they can actually think, they're thoughts telling them what they will be. When the eggs hatch, which will take a week or so, they come out as their main form. Usually, their main forms are pretty rough, being small lizards and such. As they grow, they start enhancing their form, making it stronger, more talented, etc. This process takes about two weeks. At the end of these two weeks their main form grows permanent and it can no longer be enhanced, however they may shap-shift into things that already exist.

Mates:

Post in the Mates Boards and wait for someone with a free Hadi to post back. You may not have them immediately have Hadi young. This process takes at least two weeks. No more then four is allowed.

They can mate at any age.