What is the connection between this Parshah and the previous one?
Rashi, Seforno and Targum Yonasan: Because Avraham Davened on behalf of Avimelech, and if a person Davens for somebody else and he is in need of the same thing, he is answered first. 1
Moshav Zekenim: If a Sotah was innocent, she becomes pregnant immediately. Hashem did so to Sarah, to show that Avimelech did not defile her. 2
Moshav Zekenim (Bereishis 29:17) asks that the angel informed Sarah that she will give birth before the episode with Avimelech! Sifsei Chachamim answers that even so, the verse says so to teach that one who prays... is answered first.
If so, she should have become pregnant right after Pharaoh returned her! (PF)
What are the two phrases in the Pasuk referring to?
Ramban: The former, that Hashem remembered, and took note of her; 3 the latter, that she gave birth.
Seforno: The former refers to the blessing mentioned earlier, relieving her of the curse of Chavah; 4 the latter to the promise that she would bear a son, 5 and not a daughter, as is customary with regard to women who give birth at an advanced age.
Moshav Zekenim (Bereishis 19:17): It was like Avraham said (prayed) about Avimelech, for anyone who needs something, and prays for another who needs it, he receives it first (Rashi, from Bava Kama 92b).
Targum Yonasan: The former refers to the promise that Hashem had kept, the latter, to the miraculous aspect of that promise, "Ka'asher Diber"
Riva asks that just the contrary, Amirah was said about birth, and Dibur about pregnancy! He was forced to explain so, for pregnancy comes first. There is no explicit promise of pregnancy. Mizrachi answers that "Aval Sarah Ishtecha Yoledes" (Bereishis 17:19) alludes to pregnancy.
With reference to His promise to Avraham (Ibid. 15:1).
As we find regarding Rachel and Chanah.
Why does the Torah use an expression of Pekidah regarding Sarah, and Zechirah regarding Rachel?