What is the connection of this Haftarah to Rosh Hashanah, and to the Torah reading?

For what day of the year would Elkanah and his family make their yearly pilgrimage to Shiloh? Why?

Did Peninah torment Chanah constantly, or only on occasion?

If Peninah had good intentions (Bava Basra 16a), why was she so severely punished?

What caused Chanah to pray on this particular occasion?

What arguments did Chanah use in her prayer?

What did Chanah mean by her request for "Zera Anashim"?

Did Chanah vow that her child would be a Nazir? Does a mother have the ability to make such a vow?

What made Eli suspect Chanah of being drunk?

Chanah as to this point humbly called herself an "Amah"; why does she here use the term "Shifchah"?

How does the stated reason explain the name "Shmuel"? (The term 'She'iltiv' does not contain a Mem!)

In what sense was this a prayer? It seems to be a song of praise!

According to the Vilna Gaon, to what events in our history does Chanah's prayer allude?

The Gemara (Megilah 14a) interprets "Ein Tzayar" - there is no artist or craftsman like Hashem. How so?

Is Chanah referring to herself? A later Pasuk (2:21) tells us that she had only five children!

Who are the "steadfast ones" upon whom the world stands?

How can a person merit this special protection from Hashem?

Why the doubled reference to a king?