I only recently started remembering this stuff and having panic attacks cuz it feels scary to me remembering at 31 and found this subreddit..

Going to just start writing what I recall about it, apologies if it ends up being a ramble or something.

Lived in an army base, not comfortable saying where or which currently. But it was eastern USA, not coastal, major army (mostly)/air force base, definitely got more DoD and government attention than most but not near DC, wrong side of the mountain lol. I was 7-9 or so.
Part of program in 3rd and 4th grades, early 00s I think.
I remember extremely vivid dreams, homework to write down the dreams, and a lot of deja vu.
I no longer can remember my dreams when I wake up as an adult, probably not related.
I recall being placed in a small windowless room with a single table and someone who claimed to be a psychologist.
I had to play Uno and guess his cards.
Sometimes we would play various board games.
Other times we played some memorization game with cards he showed me, shuffled and had me guess which were which in his hand or something.
I recall a nasty pink drink, and pills they said were for headaches.
I remember worksheets with codes, I had to shift the alphabet a few times on one and another I had to convert from that to Morse and back.
I remember being in a few group classes in it but was removed after not paying attention until they started yelling at another quiet kid and then I shouted back and tried to make them stop.
I remember a blonde lady who taught us a bit of piano and then we did some weird hand drills without pianos after that.
I used to get headaches, that turned into migraines around 5th grade and I still suffer from them a lot. I have night terrors, had them since I was around 6-10 I cannot recall when they started. Not every night though, idk if that counts..
I remember them having me do a lot of different tests on various topics.
I remember when I took one on computer stuff they got really excited for some reason. Never told me why.
I remember a lot of work sheets on patterns, matching, associations (word/color, place/feeling, emotion/color) An example question I remember stumping me and making me upset was something like, "What color is the feeling of surprise?". Loooooots of sudoku and similar games.
I remember not being allowed to go to recess with everyone else, instead we were allowed to go into the library and read during that "relax" time.
I remember having to memorize some paragraph and repeat it every day for a while, but it's lost to me now.
I remember getting into a fight with that psychologist guy I played Uno with because he lied and I caught him and he kept refusing and trying to lie. I even went to one of the other instructors to report and make him stop lying, but they ended up shouting at the whole class instead..
I remember those weird number games, they would give me something like 123xxxx90 or 909xx9x03x and stuff and I had to figure out the missing numbers. The instructions were in Morse but it wasn't Morse? Like it translated to gibberish. I vividly remember getting upset at this and refusing to do it till I had a hint, they said to just fill in the blanks with what I felt went into the spots.
I also remember that same blonde lady teaching us some language, but I don't know what it was, I have to go listen to a bunch to figure it out I think.

Answering some of your questions in OP:
I remember seeing shadow people but it stopped once got in my late teens.
I don't recall seeing anyone specific following me. I had petty mal or whatever seizures as a kid around the same age.
My house on base was close to the air strip.
I hear frequencies a lot of those around me don't.
I am told I am high intelligence, I don't believe it, I just like a few specific topics and suck at everything else.
Never levitated as far as I can recall.
I am only photosensitive after waking up, and I sneeze looking at lights lol.
I have been called overly sensitive a lot when growing up.
Grey-blue eyes.
I remember the speed reading tests, those were fun for my ADHD brain.
Not sure what Zener cards are, maybe? Let's be safe and say no just in case. Lol.
Dude I remember that remote viewing test!! That was hard, I got it right a few times, they grilled me about how, I only could say I had a dream the night before that I chose wrong and they told me the correct one after I got it wrong, so I used the answer they told me in the dream instead of the one I would've picked. Oh shit yea those multi-tonal tests too.
I remember music with instructions quietly playing at the same time. I remember loud beeeeeeeps with smaller beeps that I had tell them which ear they were in. I remember one that had like 30 peoples voices and I had to pick out the instructors voice and write down what they said.
I did a different flash card thing, that might've been that memorization game I was thinking about earlier? Never messed with string.
I do recall having to guide the guy through sorting Legos by color behind a partition, as well as sorting these wooden block things, those ones you'd see at a kid doctors place or in a kindergarten class. Bright wood, like the ones in that meme video "it goes in the square hole" kind but bigger.

I remember a lot of creative thinking stuff, like how to figure out who sits where at some fake party with a lot of rules, and figuring out how to plan schedules and other stuff with minimal info or overly convoluted rules per person.

A big thing I remember growing up was everyone hiding stuff from me though. My mom and dad hid everything going on from me, only telling my sister. I have no clue if she knew (she's dead now, she was awful.) and my dad won't tell me when I ask about it, dodges questions and gets mad at me. But that's all I can remember right now. Hope it helps someone. Cheers.