I'll go through this point by point.
Exar Kun is a very distant relative of Padme Amidala
Nothing I can find supports this claim. None of Padmé's ancestors beyond two of her grandparents are known, and Exar Kun had no known relatives.
Jedi are hated in Naboo
Nothing in the films or The Clone Wars seems to support this. At no point do any of the human citizens of Naboo object to the presence of Jedi.
BOSS NASS : Wesa wish no nutten in yousa tings, outlaunder, and wesa no
care-n about da Naboo.
Boss Nass doesn't particularly like Qui-Gon or Obi-Wan, at least at first, but it's out of a general xenophobia towards non-gungans, not a specific hatred of the Jedi.
Naboo has long history with the Sith, it belonged to the ancient Sith Empire
Nope, there were actually quite a few Sith Empires before the events of the main series, but Naboo belonged to none of them
The dark side is strong on Naboo, especially near plasma mines.
This is incorrect, but it's not as far from the truth as previous points. Naboo as a whole is never mentioned to be particularly strong in the Dark Side. However, canonically, Maul did apparently leave a Dark Side presence felt decades later, as shown in Princess Leia.
Additionally, in the Legends continuity, Darth Plagueis was deeply involved in Naboo's Plasma industry, though nothing about the mines themselves were inherently strong in the Dark Side.
One of the conditions with which Naboo joined the republic - the Jedi should not descend to the planet
Again, I can find nothing to support this. At no point in The Phantom Menace, subsequent films, or The Clone Wars is it stated that the Jedi aren't supposed to be there.
The only significant connection between the Sith and Naboo is the fact that Darth Sidious was from there. However, the Sith had no presence there historically, and it was not a Dark Side-imbued planet.