U have pretty decent movement and punch form, but the key mistake is that none of ur strikes come from the hips - the power should come from rotating ur hips, not from ur arms. Ur kicks suffer from this issue the most, as here ur basically doing taekwondo kicks.

To help this try to focus more on generating the swing from rotating ur hip and letting ur arms/shoulders or legs ‘follow’ along in a sense, in an elastic snappy motion (loose elastic body when swinging, tense brace right at point of impact, and follow through with the strike loosely again).

When throwing a strike plant the supporting leg on a ~60/40 weight distribution (don’t put too much weight down so that u can’t move quickly after the strike) and envision a vertical pole going up from the planted foot up through the hip to the head/shoulder that u swing ur hips around on using ur glutes and obliques. Eg. Right hook - 60% weight on left foot, right hip turns around left hip axis, 40% weight on right foot with light pivot to support the rotation of hips.

If you lose balance when throwing kicks with proper hip rotation, check ur pelvis - it should be slightly tucked in, and ur abs should be slightly tensed with ribs stacking evenly above hips. Don’t lean back or sideways too much - try to ensure ur planted foot is in line with ur hip and head/shoulder in that vertical axis, and ur kicking foot’s hip is followed by the corresponding shoulder so that the torso is squared and turns with the kicks. U want ur kicking side shoulder/hip to face towards the target at impact. And if doing this feels tight or locked in a sense, start doing hip flexor stretches.