Ad and isim are the same.
Adım/ismim is enough to understand it's "my name" but when you want to emphasize "my", you add "benim".
A: Adın ne? (No need to add "senin")
B: Adım Fog. Senin adın ne? (Second person add "senin")
A: Benim adım da Hasha. (That "da" here indicates "and" like "and my name ...")