Athens. You answered your question already.
Yes.
Aegeus, after whom the Aegean Sea is called, became king of Athens and father of Theseus.
Aegeus, king of Athens.
it has lots of gold and vines
Yes, he slayed the Minoutar Thesus was the son of King Aegeus. He was also the King of Athens and cousin of Hercules.
Theseus was the greatest hero of Athens. When king Aegeus of Athens wanted children he went to Delphi to consult the oracle about it, but did not understand the answer. He then went to the wise king Pittheus in Troezen, who instead of telling Aegeus what the answer meant gave him his daughter Aethra. She had been seduced by Poseidon the same night, and the child, Theseus, she had was therefore considered both Aegeus and Poseidon's son.
No. Theseua is a founder-king of Athens, son of Aethra (daughter of King Pittheus of Troezen) and fathered by Aegeus (King of Athens) and Poseidon (God-King of the Sea), both of whom Aethra lay with in one night.
King Aegeus was one of the two fathers of Theseus. The other father of Theseus was the sea god Poseidon.
She doesn't want Aegeus to recognize his son, Theseus, because Aegeus would then reinstate Theseus's position as heir and he would inherit the throne of Athens after Aegeus dies. Medea wants her own son, Medus, to rule Athens after Aegeus dies - she wants to remove Theseus so that this can happen.
Aegean
Theseus refuses to travel by water on his journey to Athens because his father, King Aegeus, had instructed him to raise white sails if he was successful in slaying the Minotaur. Theseus forgets to do so, and as a result, Aegeus mistakenly believes Theseus has perished and throws himself into the sea, which eventually becomes known as the Aegean Sea.
I think that the people rejoiced that the minotaur was dead because they thought that the son of king Aegeus had slew the minotaur with his bare hands.