Predictions: at best some incoherent rant that they can but won't do it for some bullshit reason
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It's not expanding in size infinitely, no, but the particles are infinitely working to expand, as futile as the efforts may be. The particles will never come to rest, especially not on top of one another. Even at equilibrium, the particles are still in motion at an atomic level.
True, as long as the temperature is non zero kelvin.
Same as the first answer. However, conceptualizing the gas molecules/atoms as darting about (aka billiard balls) is only one useful framework. It is not necessarily correct, or consistent with everything we observe. Gas largely behaves as a fluid, and is an alternative useful conceptual framework. Of course, in either conceptualization - constant motion of some sort remains.