Pallas was the daughter of Poseidon
Poseidon had a great many different kind of powers. Most of these powers that Poseidon had revolved around water sources.
Poseidon is a mythical god. It is therefore impossible to be his son or to "get" powers that never were.
No.
Poseidon's Trident did give powers, for example he can control the waves and size, time and width of them!
He had many.
No, she was not.
You can tell you're a daughter of Poseidon easily...look in a mirror and see if you exist or not.
Poseidon controls the sea and he can tsunamis, earthquakes and tornados.
No, he cannot.
In Greek myth Poseidon has had both sons and daughters.
Poseidon and Amphitrite had one son and a daughter - Rhode(daughter) and Triton(son).