The Time Phantoms did not pursue Eobard Thawne because he was able to manipulate the timeline in such a way that made it difficult for them to track him. Thawne was a skilled time traveler and was able to evade the Time Phantoms by constantly jumping through different time periods and altering his own timeline. Additionally, Thawne's knowledge of time travel technology and his ability to manipulate the Speed Force made it challenging for the Time Phantoms to capture him. Ultimately, Thawne's cunning and expertise in time manipulation allowed him to avoid being pursued by the Time Phantoms. **

Eobard Thawne's continued existence in season 5 and beyond is due to the nature of time travel and the concept of the "time remnant." When Eobard Thawne traveled back in time to kill Barry Allen's mother, he created a time remnant of himself that continued to exist even after Eddie Thawne's death. This time remnant allowed Eobard Thawne to survive and continue to impact the timeline, despite the death of his ancestor. Additionally, Eobard Thawne's knowledge of time travel and his manipulation of the Speed Force also played a role in his continued existence. **

If Eobard Thawne no longer exists, it would mean that he never traveled back in time to kill Nora Allen, which would result in her still being alive. Eobard Thawne's actions in the past directly led to Nora Allen's death, so if he never existed, then she would not have been killed by him. Therefore, Nora Allen would still be alive if Eobard Thawne no longer exists. **

Eobard Thawne, also known as the Reverse Flash, harbors a deep hatred for Barry Allen, the Flash, due to a complex and twisted obsession with him. Thawne's hatred stems from his belief that Barry is responsible for his own descent into villainy and for the tragedies that have befallen him. Thawne's intense jealousy of Barry's life and powers also fuels his hatred, as he seeks to prove himself superior to the Flash. Additionally, Thawne's time-traveling experiences have further fueled his animosity towards Barry, leading to a deep-seated desire for revenge. **

Eobard Thawne, the Reverse Flash, wants to kill Barry Allen, the Flash, because he harbors a deep-seated hatred and jealousy towards Barry. Thawne's obsession with Barry stems from his desire to prove that he is the superior speedster and to erase Barry's legacy as the greatest Flash. Additionally, Thawne blames Barry for his own descent into villainy and believes that by killing Barry, he can rewrite history in his favor. Ultimately, Thawne's motivations are driven by his twisted need for revenge and to assert his dominance over Barry. **

The Flash, also known as Barry Allen, has an extended lifespan due to his connection to the Speed Force, a cosmic energy source that grants him his super speed abilities. This connection allows him to age at a much slower rate than a normal human, giving him an extended lifespan. Additionally, his super speed allows him to heal quickly and resist certain diseases, further contributing to his longevity. These factors combined enable The Flash to live for an extended period, allowing him to become the archenemy of Eobard Thawne, also known as Reverse-Flash. **

In the series, Eobard Thawne travels back in time to kill Barry Allen as a child, but instead ends up killing his mother. This event creates a lifelong enmity between the two characters. Thawne's hatred for Barry stems from his own obsession with the Flash, and his desire to destroy everything that Barry holds dear. This leads to a complex and twisted relationship between the two characters, with Thawne constantly trying to undermine and destroy Barry's life. **

Eobard Thawne uses the face of Harrison Wells in other seasons because he killed the real Harrison Wells and assumed his identity in order to manipulate events and create the Flash. In season 3, the Flashpoint timeline is created, altering the events of the past and allowing the real Harrison Wells to be alive and well. Therefore, Eobard Thawne does not need to assume his identity in this altered timeline. **