Contradiction with Genesis 2:24
Contradicts Genesis 24:61 by emphasizing a man leaving his family to cleave to his wife, while in Genesis 24:61, Rebekah leaves her family to join Isaac.
Genesis 2:24: Therefore shall a man leave his father and his mother, and shall cleave unto his wife: and they shall be one flesh.
Contradiction with Genesis 31:49
This verse implies a watchful separation, which contradicts the supportive departure seen in Genesis 24:61 where Rebekah willingly leaves with Eliezer.
Genesis 31:49: And Mizpah; for he said, The LORD watch between me and thee, when we are absent one from another. [Mizpah: that is, A beacon, or, watchtower]
Contradiction with Matthew 10:35-37
This passage speaks of familial division due to following Christ, contradicting Genesis 24:61 which depicts familial unity in Rebekah's departure.
Matthew 10:35-37: For I am come to set a man at variance against his father, and the daughter against her mother, and the daughter in law against her mother in law.
Contradiction with Luke 14:26
This instruction of hating one's family for Christ's sake can be seen to contradict Rebekah's peaceful leaving of her family's home.
Luke 14:26: If any [man] come to me, and hate not his father, and mother, and wife, and children, and brethren, and sisters, yea, and his own life also, he cannot be my disciple.
Contradiction with Deuteronomy 24:5
A new husband is commanded to not go out to war or any other duty for a year in contrast to the expedition context in Genesis 24:61.
Deuteronomy 24:5: When a man hath taken a new wife, he shall not go out to war, neither shall he be charged with any business: [but] he shall be free at home one year, and shall cheer up his wife which he hath taken. [neither...: Heb. not any thing shall pass upon him]