No. Mace Windu's lightsaber is a fictional weapon from the Star Wars universe which has its own set of rules like being powered by a kyber crystal and being used by Jedi. Pulp Fiction is set in a more realistic, albeit violent, modern world where such a weapon doesn't exist.
There is no direct relation between Mace Windu's lightsaber (from Star Wars) and Pulp Fiction. They are from two completely different fictional universes with no official crossovers.
In the novel, Mace Windu's death is a major turning point. It shows the dark side of the Force taking over. His death also symbolizes the fall of the Jedi Order as he was one of the prominent Jedi. It leaves a power vacuum that the Sith can then manipulate more easily.
I'm not sure exactly as I haven't read it in detail. But it likely focuses on the adventures and stories related to Mace Windu. It might include his battles, his relationships with other Jedi, and his role in the Star Wars universe.
Yes, there are quite a few. Some focus on Mace Windu's journey after surviving, perhaps seeking revenge on Palpatine or reuniting with the Jedi Order in hiding. For example, in one fanfiction he teams up with other surviving Jedi to undermine the Sith's new regime.
Mace Windu was a powerful Jedi Master. He was known for his purple lightsaber, which was quite unique among the Jedi. He was highly skilled in lightsaber combat and was a respected member of the Jedi Council. He played important roles in many galactic events and conflicts, often being a key figure in the fight against the dark side.
One key event was his role in the Clone Wars. He led the Jedi in battles against the Separatists. Another was his discovery of Anakin Skywalker's potential problems. And of course, his fateful encounter with Palpatine where he tried to arrest the Sith Lord hiding in plain sight.