no
At the first place, super powers like what Superman has is fictional. But a person can have a super power by your abilities. You abilities can be your super powers! You can change the world with your abilities. You can help people and be a hero by your abilities. The super powers you are searching is hidden within yourself. Just believe in yourself and in your abilities and you can have the super powers you are searching for!
Well is Mom was Aphrodite so he would get his love powers from her.
He was the god of love, and he shot arrows of desire or hate at mortals or even gods.
Turning people into pigs.
No, but he has super human abilities.
One might say yes, albeit by accident.
In Greek mythology, Apollo was jealous of Eros because Eros's arrows had the power to make anyone fall in love, which challenged Apollo's abilities as the god of love and desire. Eros, on the other hand, was jealous of Apollo's ability to shine brighter than him, as Apollo was associated with the sun and light.
Web Shooting
You could try abilities or skills.
Below- (under powers and abilities)
Yes, obviously he is a god