Game Analysis often says moves are best that make no sense?

I've learned about a lot of better moves I could do through game analysis after the game is over, and yet for some reason that is beyond my comprehension it will a lot of times recommend moves that will lose me pieces.

Like it will say "this move loses you a knight" and then the recommended move moves another knight right into instant death.

In this example for instance. It says I missed a chance to capture a free pawn, but then it tells me to move my queen right into the path of a knight.

Am I missing something here? From what I could tell there was nothing defending the queen but even if I'm wrong, who cares? Most would gladly sacrifice a knight for a queen?

Am I just really missing the forest for the trees or is this really just making some bad recommendations and I have to use my best judgment?

In that example, the knight is pinned to the white king and can't move.

Mm.

I notice I have a lot of issues seeing those types of things. What are some ways that I could improve my awareness of these things?

Use analysis mode to play out your "ideas" and you will quickly see why your move is not as good or why the suggested move is ok. Beside that, play puzzles and watch instruction videos.

You can do this during a game?

In Daily, yes, with no engine. In Live games, no.

No, ofc not. You will get banned if you try that. But you can do that at any time during game review, if you don't understand why a certain move is suggested. Simply try your alternatives and normally the computer will quickly make it clear to you, why they are worse then the alternative. Maybe they allow for a forced fork a few moves in that you do not yet see.
BTW, it is always better to give us the full board, not just a small cut, then we could tell you in this example, what it was better.

So here's another example. Here it says that I missed the chance to get the Queen off it's starting square by capturing the opponent Queen in its starting place next to the King.

I looked real hard it doesn't look like there's anything stopping the King from taking my Queen, so how is this the best move when it loses me the best piece in the game?

you also win the Queen, so it is a trade. But the big difference is that he looses castling rights by taking your queen with the king, so he can't bring it to safety easily making it easier for you to exploit the King by using it in forks, pins and skewers. Its important to not chase for the big mate right away, but rather small imbalances like these ones in the beginning to get an overall advantage.
Ofc, as long as one plays on the level of blundering complete pieces easily, this seems not worth it. But once this does not happen anymore to both players, then small imbalances like causing a double pawn in your opponents pawn structure, or removing castling rights are big steps towards victory and make an else wise even trade totally worth it.

I understand. It makes sense now. It seems like most of the time that I don't get why it suggests something I don't notice that the piece is protected by another piece so it wouldn't be good for the other player to take it or something like what you said about preventing castling.

Exactly. I recommend watching these two short lectures on that topic:
Deflection & Decoy

im sorry if this sounds rude, but thinking somebodt thinking that there is anything wrong with those simple moves hurts me lol