Blatantly false, right off the bat. "Yashu" is not derogatory at all. It is the Aramaic spelling of "Yeshua" or "Joshua." It is very simply a man's name. There is nothing derogatory about it. Associating Jesus with the name Yashu is problematic from the start, as the latter was a common name.

Yashu (Jesus) was sexually immoral and worshipped a brick.” (Sanhedrin 107b): False. This is a distortion of the truth by Van Hyning based upon a legendary story in this portion of the Talmud. As it is actually related, Jesus and his teacher met a woman at a wayside inn; Jesus admired her extreme beauty. For this the teacher severely admonished him and dismissed him as a pupil. The rabbis in the Talmud sharply criticized the teacher for his harshness and severity towards Jesus.

"Yashu (Jesus) was cut off from the Jewish people for his wickedness and refused to repent.” (Sotah 47a)** Sotah 47a simply doesn't state this at all. It concerns a disagreement between Jesus and a rabbinical mentor, but this isn't the message it conveys.

“Miriam the hairdresser had sex with many men.” (Shabbath 104b, Hebrew Edition only)

“She who was the descendant of princes and governors (the virgin Mary) played the harlot with carpenters.” (Sanhedrin 106a): It does not make an evaluation of anyone, but rather reports a dialogue; "It was taught, Rabbi Eliezer said to the Sages: But did not Ben Stada bring forth witchcraft from Egypt by means of scratches (in the form of charms) upon his flesh? He was a fool, answered they, and proof cannot be adduced from fools." The professional antisemites are relying on the theory that the Talmudic scholars meant Jesus when they referred to Ben Stada. A British scholar, R. Travers Herford, gives it as his opinion in "Christianity in Talmud and Midrash" (p. 37) that Ben Stada means Jesus of Nazareth. Further on, however, he says "...The Talmud has preserved only a very vague and confused recollection of Jesus" (p. 83). And he points out that some people argue "that there are in the Talmud two persons called Jesus, neither of whom is the historical Jesus of Nazareth" (p. 347).

“Christians who reject the Talmud will go to hell and be punished there for all generations.” Lastly, this is a reductive interpretation of how "judgement day" is explained in the Talmud. The text states that there are three ways that people will be judged on this day. Those that lived a virtuous life will ascend, those that sinned wickedly will be sent to Gehenna (which is not Hell, but purgatory) for "generations" and those in the middle will be sent to Gehenna for a year. The line that you're incorrectly quoting actually goes like this:

"But the heretics; and the informers; and the apostates [apikorsim]; and those who denied the Torah; and those who denied the resurrection of the dead; and those who separated from the ways of the Jewish community and refused to share the suffering; and those who cast their fear over the land of the living; and those who sinned and caused the masses to sin, for example, Jeroboam, son of Nebat, and his company; all of these people descend to Gehenna and are judged there for generations and generations..."

Which is, you know, nearly identical to the orientation of judgement day according to the Christians you seem to be so found of.

Shall I go on?