Why is it written Lechi, and we pronounce it Lach?
Radak: Several words in this Parshah are written with a Yud at the end - Shechanachi, Nashaichi, Banaichi (verses 3, 7). This is like "ha'Sole'ach l'Chol Avonechi
Radak wrote elsewhere (refer to Shmuel II, 15:21:1:1) that Chachamim decided that when there are discrepancies among texts, the pronunciation will follow the majority text, and it will be written like the minority text. (PF)
Why did he ask what she has in the house?
Malbim: Brachah rests only something existing, but not on emptiness.
What is "Asuch Shemen"?
Rashi: It is enough to oil to anoint. The Aleph is part of the root, like the Aleph in "v'Achavasi b'Azneichem" (Iyov 13:17) and "Evchas Charev" (Yechezkel 21:20).
What is the significance that she had oil?
Malbim: Ovadyah always used to light oil for Bnei ha'Nevi'im at night, that their lamp should not extinguish. It is proper that a miracle be done [for his sons] via oil.