Elokei Avraham, Rivkah and Yaakov?

(20) Some time later, Abraham was told, “Milcah too has borne children to your brother Nahor: (21) Uz the first-born, and Buz his brother, and Kemuel the father of Aram; (22) and Chesed, Hazo, Pildash, Jidlaph, and Bethuel”— (23) Bethuel being the father of Rebekah. These eight Milcah bore to Nahor, Abraham’s brother.

Since she (Milcah) was the daughter of Haran,(Avraham's) brother, this news was reported to Avraham; that his older brother had many (grand) children from the daughter of his dead brother. From the text it appears that he did not know of any of them until this day. If they were born earlier when she was young it would have been impossible that is was not known until today because the distance between Aram Naharaim and Canaan isn't so far. Also, Nahor was elderly and his wife was not a young woman anymore. Rather, God performed a miracle that in her elderly years she gave birth. This is why it is written ''Also Milcah'' and in the words of our Rabbis (Yilkut Shimoni 766) it says 'she gave birth like her sister'.

(22) But the children struggled in her womb, and she said, “If so, why do I exist?” She went to inquire of the LORD,

(60) And they blessed Rebekah and said to her, “O sister! May you grow Into thousands of myriads; May your offspring seize The gates of their foes.”

(1) את היי לאלפי רבבה ויירש דרעך, may all these children originate from you, as it had been said to Avraham at the time of the binding of Yitzchok: “your descendants will conquer the gates of their enemies” (22,17)

(23) and the LORD answered her, “Two nations are in your womb, Two separate peoples shall issue from your body; One people shall be mightier than the other, And the older shall serve the younger.”

...through a prophet or Avraham himself, for he had not died until her sons were fifteen years old.

Woman (Eve) was told: "you will suffer greatly in childbirth" (Genesis 3:16). Rabbi Yehuda said in the name of R. Simon and R.Yochanan in th ename of R.Eliezer son of R. Simon: God is never obligated to speak with a woman except for that Tzadeket (Sarah) and even in her case it was through a higher source. R.Aba son of Bar Cahana said in the name of R.Yitzchak how much difficulty (lit. dancing wildly) was needed to speak with her. "He said: You were laughing (Genesis 16:13). "She called the name of God Whom was speaking to her". RYBRN said in the name of R.Idi in Genesis 25:23, God spoke to her through an angel, others say it was told to her by Shem.

(3) ויקרא שמו יעקב AND HE CALLED HIS NAME JACOB — The Holy One, blessed be He, thus named him. Another explanation is: his father called him Jacob because he was grasping Esau’s heel

...

(42) When the words of her older son Esau were reported to Rebekah, she sent for her younger son Jacob and said to him, “Your brother Esau is consoling himself by planning to kill you. (43) Now, my son, listen to me. Flee at once to Haran, to my brother Laban. (44) Stay with him a while, until your brother’s fury subsides— (45) until your brother’s anger against you subsides—and he forgets what you have done to him. Then I will fetch you from there. Let me not lose you both in one day!”

Why should I lose...: she feared that Esav and Yaakov might kill each other or that Esav might get killed for killing Yaakov. There is a midrash that both died on the same day.

(46) Rebekah said to Isaac, “I am disgusted with my life because of the Hittite women. If Jacob marries a Hittite woman like these, from among the native women, what good will life be to me?”

She said this with intelligence to Yitzchak in order to distance Yaakov from Esav and not to reveal to him (Yitzchak) that it was because of the Esav's hatred that this was necessary.

(3) תחת האלון UNDER THE OAK —An Agada (Genesis Rabbah 81:5) states that he there received news of another mourning for he was informed that his mother had died. — In Greek allon means “another”. — Because the time of her death was kept secret in order that people might not curse the mother who gave birth to Esau, Scripture also does not make open mention of her death (Midrash Tanchuma, Ki Teitzei 4).

Our Rabbis taught that this is a hint to the death of Rivka. that it why the name of the place is Alon Bachut because the crying was not for the elderly nursemaid, they did not name the site after her. Rather, Yaakov was crying and mourning over his mother, the Tzadeket whom he loved. She sent him there (to Charan) and she did not merit to see him on his return. Therefore, God revealed to him and blessed him to comfort him in which he did to Yitzchak, his father after Avraham died.

(1) ותמת דבורה מינקת רבקה, “Devorah, Rivkah’s nursemaid died.”

(2) Nachmanides quotes a Midrash (Tanchuma Ki Tetze 4) where the matter is explained. Although G’d promised Avraham that he would die of a ripe old age, he died at 175 years of age, 5 years younger than his son Yitzchak. The reason was in order to save him the mental anguish of seeing his grandson Esau become corrupt. In the case of Yitzchak, the latter was blind and could not see what his son Esau was up to. According to this Midrash, both Avraham, Yitzchak, and Rivkah ended their lives experiencing a degree of shame. Rivkah’s funeral lacked the presence of her loving son Yaakov, and presumably the presence of her son Esau who hated her. When she died, people cursed the passing of a woman who had nursed an evil person such as Esau. For these and other reasons G’d decided to console Yaakov by blessing him at this time. The plural form בכות, “weeping,” is accounted for because as soon as Yaakov was about to weep for the death of Devorah, he received word that his mother had died. His weeping was for the passing of both these women.

There they buried Yitzchak and Rivkah, his wife... it appears from here that Rivkah died when Yaakov was still in the house of Lavan. Therefore, he was unable to state "I buried Rivkah" rather it states "she was buried"