Ajman is smallest emirates of UAE
Sharjah
Sharjah is one of the emirates of UAE
Dubai Creek in the Emirate of Dubai
umm al-Qaiwain
Dubai City
Yes, Sharjah is both a city as well as an emirate within the UAE
Dubai is a Emirate, there is no the Emirate, infact there are seven Emirates in the United Arab Emirates (UAE). If you want to know what the captil city of the United Arab Emirates it is called Abu Dabi and is about an hour or two away from Dubai.
Ajman
Jumeirah is a "suburb" of Dubai, it is not an Emirate
Sheikh Mohammed was never ruler of the UAE, he is the current ruler of the Emirate of Dubai within the UAE
True, Ajman is an emirate