1)
Why does he call them "Avadecha v'Amecha"?
1.
Refer to Melachim I, 8:36:1:1.
2)
How will Hashem show them the proper path?
1.
'Rashi': E.g. in the famine in the days of David, You told them that it is due to "Sha'ul v'El Beis ha'Damim" (Shmuel II, 21:2). You show them for which sin rain was withheld (Radak - and teach them the good path and give rain).
2.
Ralbag (Melachim I, 8:36): Through the punishment, they investigate their deeds and veer from the sin for which they were punished.


