[Coldsaturn]

I don't know if it's the same one you have, but I found this very useful. Also for you who doesn't like voiced video tutorials, it's all text to read with the video showcasing what is being described. The claymore is indeed crazy strong.

Chap 1 prologue:
Traceback II was 3 years into their voyage when they lost their target AND lost communication with their base. It isn't clear right now whether they always intended to enter the blackhole or whatever malfunction happened made them fall into it. We also still don't know who or what was their target, but you can make informed theories.
They went through the black hole and you correctly wrote that they went back into the past. This would explain their Non-Intervention Principle since that's usually a pretty standard practice for time-travel: you gotta avoid time paradoxes. It would also explain Jeremiah's comments about people's memories of them becoming fuzzier, and how their presence there is a mistake.

Questions: Traceback I? What caused the malfunction/loss of target/loss of communication with base? They're definitely intervening now, so what would that imply for their future selves?
It's pretty clear now that Traceback is the name of the spaceship, and Backtrackers is the name of the team in it. They backtrack, but why?

Raymond:
pin the name of the company Raymond mentions: Xander Sciences.
"i guess some of me just really wanted him dead for some reason."
He is dead. One of the next times you meet Rafayel you're with him in a bar/restaurant, and you get chased by a paparazzi who wants a scoop on Rafayel now that Raymond is dead and Raf is the last connection to him.

"so, let me guess. Raymond is one of Xavier's people, he captured one of Rafayel's people or fell in love with her or her with him, he kept her in the pool until she died and then he had her skeleton mounted for some really macabre reason."
Ok you made 4 conjectures (Raymond is Xavier's; captured a lemurian or fell in love with ther or she fell in love with him; kept her in the pool until she died; mounted her skeleton for some macabre reason"), 2 of which are correct. You need to go darker.