Its because of the calculus
you had previously which had caused the movement of the teeth now after teeth cleaning
your mouth you will feel sensitivity and mobility of teeth its because of unproper brushing and flossing .hardened plaque, known as tartar, causes the gums to pull away from the teeth, creating gaps that can become infected. Over time, this process can break down the bone and tissue supporting the teeth, causing the teeth to become loose. And for bleeding gums
caused because of poor peridontal health and loose teeth
.take vitamin capsules or limcee daily once. Rinse with mouth every day with slight warm water putting a pinch o salt in it and further go for treatment if it continues and for loose teeth remove it and replace it with an implant or bridge.