Yes, In Book 16 Line 187.
When Telemachus first meets Odysseus (disguised as a beggar), Telemachus does not recognize him and instead thinks he is just a poor traveler. Odysseus reveals his true identity later in the story.
No, he does not. In fact, Telemachus doesn't even know what his father, Odysseus looks like, because they had only met when Telemachus was a baby.
Telemachus and Odysseus met in the palace of Odysseus in Ithaca. After a long journey, Telemachus returned home and encountered his father, who had been disguised as a beggar. Their meeting was emotional, as Telemachus initially did not recognize Odysseus. This reunion marked the beginning of their collaboration to reclaim Odysseus's throne from the suitors.
because athena disguised him as a beggar
Telemachus is Odysseus's son.
Meneleus and Helen recognize Telemachus as Odysseus' son primarily through his resemblance to his father, particularly in his appearance and demeanor. Additionally, Telemachus' demeanor and the way he carries himself evoke memories of Odysseus, reinforcing their connection. Helen also recalls the prophecy that Odysseus' son would come seeking news of his father, which further confirms Telemachus' identity.
Telemachus is the son of Odysseus, and Eumaeus is the swineherd of Odysseus.
Telemachus first thinks that Odysseus is a beggar, thanks to Athena's disguise of him. After Odysseus' transformation, Telemachus believes him to be a god, until Odysseus tells Telemachus of his identity.
Kill the suiters
Telemachus was the son of Odysseus, I don't believe he put him to work.
Telemachus is the son of Odysseus
Odysseus implicitly tells Telemachus not to string his bow, even though he can. Odysseus later signals Telemachus to prepare for battle after Odysseus has performed the feat of strength and skill.