I just updated the game and fixed the movement and the mouse-look from being frame dependent.
The issue was that I was "lerp"-ing C3's built in Custom movement based on DeltaTime when the built-in functions are already frame independent. And I also found that mouselook was dependent because I was multiplying it by DeltaTime, but the function "On Mouse Movement" already takes framerate into account.
Hope this helps and thanks for the feedback!