stuck at 500 rapid


I haven't been playing many rapid games coz I don't get much time because of school and academics, but still manage to play atleast 2 or 3 rapid games a week


I reviewed a few of your games and #4 is 100% right. The 3 rapid games I looked at all have you blitzing out the moves and not using your time. It gets worse than that. You play rapid irregularly and play much more blitz and bullet, which will actually make you worse. That's what is keeping you down. You need to play rapid or longer, you need to use the time available to calculate and think things through, and you need to review every one of your games.
Your improvement is not connected to playing as many games as possible. If you played 1-3 games of rapid per day, used your time, and thoroughly reviewed each game afterwards and tried to learn from it, you would be improving.

Learn exactly how to think in the opening, middlegame and endgame — this is what I teach.
Always blunder-check your moves.
Solve tactics in the right way.
Analyze your games.
Study games of strong players.
Learn how to be more psychologically resilient.
Work on your time management skills.
Get a coach if you can.

Think before you move. If you play fast, you're destined to be stuck at 500 forever.
Here's a good example.
This game was played with a 10|5 time control. My opponent premoved nearly half of the moves they played, and there was only one or two instances where they took more than 2-3 seconds to make a move. Even though I admittedly played pretty horribly, I still won the game, because I quickly realized they weren't thinking about their moves at all and exploited it to my advantage.
Obviously, you can tell this person is not 500-rated, but the idea is still there.

Piece value depends on position.
Bishops are best in open positions.
A bad bishop is blocked by pawns—trade it off.
Bishops shine in endgames with pawns on both flanks.
The bishop pair controls both color complexes—use it.
Knights thrive in closed positions because they jump over pieces.
Knights are strongest in the center because they are short range.
Place knights on outposts—protected squares the enemy can’t contest. Trade off anything that can remove your knight before placing it.
Knights are great in endgames with pawns on one side—they're slow to switch flanks.
Prevent enemy outposts and remove their knights without weakening your own position. If you can’t remove them then just watch out for them, but it is always better to prevent then to successfully defend.