In addition work on stretching your ankles ,legs, up to your waist.
Your head natuarally follows all your lower movments, improve those and you have more than the rest.
Drop a knee look what happens to your head. sway your knees ,watch your head etc.
Just by turning your heel outwards your head can avoid a straight shot or flow with another shot without the knee bend to add to it.
HAving a mirror and moving in towards it and away from it ,gets you knowing your limits on the end of moves or through moves to vary head movment on the attack etc and if and for when your walking into or away from something.
You have to know when you can and when cant do a certain thing.
Around and under an extended jab is the safest as its already spent but you still gotta watch ,move away from, or physically cover that rear arm as you move .
In tight following someones elbow back in with your head using it as a cover is possible and leg flexability is what you use when you pop out of the hole they leave as they correct to where they think your heading to.