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by definition
at zero temperature , particule has no kenitic energy
To say they lose their energy and stop moving at zero Kelvin, that's not right. The reason is that the atoms and molecules still have some energy (momentum) even after reaching the absolute zero temperature. That's proved experimentally.
Depending on the studies available till now, the absolute zero is the temperature at which the entropy becomes zero which means the particles won't move.
NO,BECAUSE THE THIRD LAW OF THERMODYNAMICS STATES THAT "AT ABSOLUTE ZERO ENTROPY OF A PERFECT CRYSTALLINE SUBSTANCE IS ZERO"
