Is Telemichus a hero?

There are a lot of arguments to whether or not Telemichus son of Odysseus is a hero. In my opinion he is for these simple reasons: He never gave up on his father when he didnt return home, He risked his own life to save his fathers, and he did everything he could to keep his father as king of Ithaca. The suitors all got together to discuss who would be king after Odysseus didnt return from The trojan war. He asked for a ship to sail around the mediteranean in search of him. He set sail with the help of the goddess Athena. When Odysseus finally returned Telemechus didnt believe that it was him. But after he did, he did everything he could to help his father regain the thrown. Telemechus and his father killed all the suitors. For these reasons I believe that Telemechus is a hero.