What is "Anu Banu"?
Rashi: [Our sins] testified against us. Radak - Yirmeyah included himself with Yisrael, even though he had no sin. Also Moshe said "v'Salachta la'Avoneinu ul'Chataseinu u'Nchaltanu" (Shemos 34:9).
Radak: When rain is withheld in our land, but not in the Goyim's land, our sins testify that we are stricken due to them.
Why is helping Yisrael "Lema'an Shemecha"?
Rashi: You are known for ruling over everything, and we are Your nation and Your flock. It is improper that You give victory to idols 1 .
Rashi citing a Midrash: For the sake of Your name, which is joined with our name.
I.e. the nations will say that they conquered us due to their idols. (PF)
What is the meaning of "Ki Rabu Meshuvoseinu Lecha Chatanu"?
Radak: True, it is upon You to punish us, for we rebelled against You in many matters - in serving other gods, extortion, heeding the false Nevi'im and not the true Nevi'im. This is why he said "Rabu"! Even so, do for the sake of Your name called on us - we are called Am Hashem.
Malbim: Our sins are many, and also Lecha Chatanu - we sinned against a great, exalted King, and we are worthy of punishment! Even so, do for the sake of Your name.
