None. Athene was a maiden goddess (Pallas Athene; Parthenia, with both "pallas" and "parthenos" translating as "youth, maiden or virgin") who in several myths proved that she wanted nothing to do with romantic relationships.
One obscure myth, however gives her a child, Erichthonius (http://en.wikipedia.org/wiki/Athena#Erichthonius).
If you mean the greek god Poseidon, He was romantically connected to Tyro but only because he disguised himself as Enipeus, Tyro's true love.
Ares, the god of war, is often romantically connected to Aphrodite, the goddess of love.
no
yes
Most strongly, Zeus, her father.
She was his daughter. She was born of his split head. That's why she was so wise.
Athena usually carried an Aigis clock, shield and spear. The spear was called a pallein, Athena was connected with various personas called Pallas so much so her name could be rendered as Pallas Athena.
Athena says that he is to connected to his friends. Some connection is good, but he is overdoing it.
Romantically was created in 1963.
They gazed romantically into each others eyes.
Athena, the Goddess. The word "Athenian" means something or someone connected to Athens in some way.
Romantically Yours was created in 1968.