Yes in the Gigantomachia (War of the Giants), Poseidon fought Polybôtês.
Yes, Poseidon does fight with Zeus.
Poseidon fought with a trident, a three-pointed spear.
No, he does not.
Poseidon
The name of the giant Cyclops in The Odyssey is Polyphemus. He is the son of Poseidon and Thoosa according to Greek mythology.
Odysseus didn't directly fight Poseidon, he fought the effects of the wrath of Poseidon. This was since Odysseus blinded the son of Poseidon, Polyphemus, and told him his name. Therefore, Polyphemus prayed to his father, asking him to punish Oeysseus.
Poseidon
Triton, Athena, Despoine, Proteus, Aiolos, and Asopos are Poseidon's children. Poseidon also has nymphe, animal, giant and mortal offspring.
No, but they are family, and families do fight.
They don't
Andre the giant
Poseidon did get along with his family, but something he would fight with Hades and Zeus. ( Hades, Zeus, and Poseidon are considered the main three brothers.)