Well, Harry Potter would probably become an even more powerful wizard. Sun Wukong could teach him unique combat skills and ways of thinking. Harry might learn how to be more adaptable in different situations, just like how Sun Wukong can handle all kinds of challenges in his adventures.
Sun Wukong might start with physical conditioning. He could make Naruto run long distances while carrying heavy weights, similar to how he trained himself on Flower - Fruit Mountain. This would build Naruto's strength and endurance.
If Naruto was trained by Sun Wukong, his physical abilities would likely improve greatly. Sun Wukong is known for his superhuman strength, speed, and agility. Naruto could learn to move faster and hit harder. Also, Sun Wukong's ability to transform might influence Naruto. Naruto already has his own transformation abilities with the Nine - Tails, but he could learn new forms or ways to transform more effectively from Sun Wukong.
Sun Wukong of Chaos was a novel that was being published in a series. The author was the Master of Shi E. This novel told the story of a girl who had transmigrated to the Primordial World, married Houtu, gave birth to Sun Wukong, and controlled five Chaos Tools to become the master of the Great Dao. Other than that, there was no more information about the Sun of Chaos, Wukong.
There were a few novels that were similar to "Sign in with Sun Wukong at the beginning of the game, I'm invincible" that could be recommended. Among them were "Global Magic: The Campus Belle Asks Me to Be Her Demon Tamer","The Great Emperor Summons a Thousand Armies", and "The Great Ming Must Not Die". These novels all belonged to the sci-fi/doomsday crisis category, with similar settings and plots. In addition, there was also a novel called "Invincible in the Beginning of a Billion Girlfriends" that was mentioned. Although it had nothing to do with Sun Wukong, it might meet your requirements for invincibility in the beginning. Please note that these recommendations are only based on search results. There may be other similar novels that have not been mentioned.
No. Liches are often associated with dark and unethical magic. Harry has always been on the side of good and learning from a lich could corrupt his values.
Zelretch is likely a very powerful and perhaps mysterious character in this fanfiction. He could be an ancient wizard or a being from a different magical dimension with knowledge far beyond what is known in the normal Harry Potter universe.
Yes, there might be. The 'Star Wars' and 'Harry Potter' universes are both extremely popular, and the idea of Harry Potter training Anakin Skywalker is an interesting crossover concept. There are many fanfiction websites out there, like FanFiction.net and Archive of Our Own, where fans often create unique crossovers. You can search on these platforms using relevant keywords to find such a fanfiction.
Azura could be an original character created for this fanfiction. Maybe she's a powerful witch from a far - off land with her own unique brand of magic.