Hi there,
A salary of 15,000 dhm and free 1 bedroom accommodation sounds like a good deal. I mean, rent prices in Ajman for a 1BHK is around 3,000 dhm so, you are saving quite a bit there.
Ajman is really a great place to live and safe and there are plenty of things to do. The only objection I can think of is that the accommodation might be a bit too small as you also have a small child.
Hope this helps
Vacationbuddy