1)
What is the difference between "Onyeinu", "Amaleinu and "Lachatzeinu"?
1.
Hagadah shel Pesach: "Onyeinu" refers to the prevention of marital relations, 1 "Amaleinu", to the drowning of the baby boys and "Lachatzeinu" to the oppression (work without a break).
1
See Torah Temimah, note 29 and Rashi in Vayeitzei Bereishis, 31:50.
2)
What are the connotations of "Va'nitz'ak el Hashem"?
1.
Targum Onkelos and Targum Yonasan: 'And we Davened to Hashem'.