1)
What should Hashem remember for them?
1.
Rashi: The good that they did 1 .
2.
Ibn Ezra: Pay them their 'wage' for Ga'alei Kehunah, and from the Bris of Kehunah and Leviyah, via taking Nochri wives.
1
Here discusses Resha'im! Why does Nechemyah want Hashem to remember their good? (PF)
2)
What are "Ga'alei Kehunah"?
1.
Malbim: They were defiled and expelled from Kehunah, i.e. serving in the Mikdash.
3)
How were they expelled from Bris Kehunah?
1.
Malbim: They lost their lineage - his sons became Zarim (Chalalim, without Kedushas Kehunah).


