I'm honestly the biggest chicken in the world when it comes to rides, but over the past few years I've slowly but surely conquered all of the ones you mentioned.
If you can handle Primeval Whirl, Mine Train and Thunder Mountain should be a piece of cake for you. If you're nervous about these rides, ask if you can ride towards the front of the train (even if you don't want to sit in the very front row). The biggest hills/drops on these rides aren't straight down, they curve. So, if you sit at the front, the train already curves around part of the drop before it gains momentum and it's less intense in the front.
Test Track isn't bad at all. There's no big drops, the only thing about it is that it goes really fast around a curve, but it honestly doesn't feel any different than going fast in a car. There's three seats in a row and if you sit in the middle, the sharp turns won't be as intimidating if you're worried about them.
I just went on Splash Mountain for the first time about two weeks ago. I was so terrified that I was crying and I have to say, it wasn't bad at all. The drop doesn't feel as steep as it looks and it's over in like two seconds. There's smaller drops before the big one, but they're about the same intensity as the drop on Pirates of the Caribbean.
Space Mountain was so scary and I've yet to get back on it since the first time I rode it. It's REALLY dark and you have no clue where you're going (I get that's the point). None of the drops felt very big or anything, but it freaked me out not knowing where I was going. I also kept feeling like I was going to hit my head, which I know would never happen, especially since I'm pretty short, but it still scared me.
Everest is also pretty scary, but I liked it better than Space Mountain. The drop is significantly larger than any of the coasters you listed, but other than that, it's not so bad. It goes backwards, but that wasn't as scary as I expected it to be.
I hope you enjoy whatever rides you end up conquering!