1)
Sha'ar Beis Hashem implies that there is only one. Beis Hashem has many gates!
1.
Radak: This refers to the eastern gate, the most special of the gates.
2.
Malbim: It was in the gate special for people who come to offer Korbanos.
2)
Which are "these gates"?
1.
Radak (from Midos 1:4): The Azarah had seven gates - three in the north, three in the south and one in the east.
3)
Why does He address those who come to bow to Hashem?
1.
Malbim (2-3): They think that Korbanos and bowing are the primary desired actions. Really, proper deeds are a condition to enter the Azarah!