2) Exodus wasn't always said to be weaker than Xavier? His upper limits were always mysteriously undefined early on, it was just known that he was incredibly powerful. And Exodus was enhanced way in the past before his first appearance in continuity. Like Sinister, Archangel or Apocalypse himself. He underwent a Celestial process and was changed by it, this was way in the past though and not during Bloodties. And he's thrown around teams since then too, what's actually less consistent is an Alpha mutant like Emma stalemating him. That's actually the more arguable PIS.
3) Because you're inserting a relative ease that isn't visibly there. Rachel is the more aggressive one but Emma doesn't hold back either, she's fighting here. She ultimately outmaneuvers Rachel but doesn't bowl her over or dominate her either, in reality she negates the conflict rather than winning the fight. Probably because she doesn't want the fight in the first place, she sees a lot of herself in Rachel and even remarks on that.
4) I don't think you understand, Rachel altered people's perceptions literally constantly to mask her hound marks. As in her every waking second she was around other people. Even large crowds. Constantly. Including powerful psychics like Xavier, or psi-resistants like Rogue, she was always constantly doing this. Imagine squeezing your hand for 16+ hours and never releasing for a second. And she did this out of shame and guilt, it's really incredibly sad.
Rachel altered DNA both with and without the Phoenix. With was when she rebuilt Cyclops and the Invisible Woman from their genome on up to erase their hound conditioning in Days of Future Present. Without was during Reload, when feedback from a Saurian psi brainwashed Rachel into thinking she was also a Saurian and she began unconsciously rewriting her own DNA to that effect. She wasn't even trying to do it in fact!
Rachel levitated an entire city in the Burt Offerings arc of Cable Deadpool. Without the Phoenix. She psychically held all the Inhumans in Attilan during the X-Men's Civil War II mini so Magneto could question Homer or whatever his name was. Without the Phoenix. She communicated across the timestream to Cable in the late 90s, that's how he found and rescued her from Gaunt at the End of Time. Without the Phoenix. She actually did essentially the same thing in her first appearnce, sending Kate Pryde's mind cross time into our Kitty's body to try and stop DOFP. And again without the Phoenix. Trust me, between the two of us I'm pretty obviously not the one who's clearly ignorant of Rachel's abilities. That's not a feeling you're having, it's just your seething bias acting up again.
As for Emma's projection, she didn't link all minds on the planet in DOX and nowhere does it say she did. She projected Scott's message outward, like a broadcast (ie: a literal wave) eminating outward and she had the Cuckoos helping her boost the projection even. Meanwhile when Rachel scanned minds (ie: actually entering minds, shifting through memories, actively investigating lobe by lobe) over the entire globe looking for her students she was doing this for
hours, reaching hundreds of thousands of minds at a time, while telekinetically floating thousands of feet above Manhattan. Even Storm warned her it was dangerous and she was pushing herself too hard. But sure, totally an easier feat. Right.
5) Yes, she has static in her brain. If you stick a lightbulb in her ear I bet it'd glow.