Praise be to Allah, The Lord of the Worlds.
The deferred portion of the dowry (Bridal gift) is a debt on the husband, and according to the Personal Status Law of Jordan, the wife can claim this amount in the two situations mentioned in the above question.
Consequently, she isn`t obliged to pay the Zakah of this amount until she receives it, it reaches Nisab (Minimum amount liable for Zakah), and one full lunar year elapses over possessing it. This is according to the Maliki school of thought whose Fatwa we adopt in such situation.
As for the support she is entitled to receive from her husband, it doesn`t include the Zakah of her wealth, be it
dowry or else. And Allah The Almighty Knows Best.