Character controller In local space instead of world space

Questions
1

im having issues with controlling a character in the local space instead of the world space, is there anyone who can take a look or advice? its based in R3F but would work in standard three.js: useFrame((state, delta) => {

    if (rigidbody.current && gameStarted) {
        // Update time since last ground contact
        const impulse = { x: 0, y: 0, z: 0 };
        if (jumpPressed && isOnFloor.current) {
          impulse.y += JUMP_FORCE;
          isOnFloor.current = false;
        }
    
        const linvel = rigidbody.current.linvel();
        let changeRotation = false;
        if (rightPressed && linvel.x < MAX_VEL) {
          impulse.x += MOVEMENT_SPEED;
          changeRotation = true;
        }
        if (leftPressed && linvel.x > -MAX_VEL) {
          impulse.x -= MOVEMENT_SPEED;
          changeRotation = true;
        }
        if (backPressed && linvel.z < MAX_VEL) {
          impulse.z += MOVEMENT_SPEED;
          changeRotation = true;
        }
        if (forwardPressed && linvel.z > -MAX_VEL) {
          impulse.z -= MOVEMENT_SPEED;
          changeRotation = true;
        }
        rigidbody.current.applyImpulse(impulse, true);

        if (Math.abs(linvel.x) > RUN_VEL || Math.abs(linvel.z) > RUN_VEL) {
            if (characterState !== "Run") {
                // dispatch(setIdle());
                dispatch(setRun());

            }
        } else {
            if (characterState !== "Idle") {
                dispatch(setIdle());
            }
        }

        if (changeRotation) {
            const angle = Math.atan2(linvel.x, linvel.z);
            character.current.rotation.y = angle;
        }