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What do you think of the following theory? Weather could be influenced by below surface moving molten materials and resulting gravity changes....

While not impossible in principle, this theory is quite unlikely to be correct.

Molten materials in and under the Earth's crust are not that different in density from the surrounding rock, and in any case their mass is quite small relative to the total mass of the Earth, so the changes in gravitation due to molten currents under the surface are very small.

The variation in Earth's gravity due to the overall shape of the Earth is about 0.5%. The variation in Earth's gravity due to local geology and molten currents is even smaller than that, on the order of 0.001%. Such a small change is unlikely to have any significant effect on weather patterns.

It's not entirely impossible, however, as weather is a chaotic system, and at their bifurcation points chaotic systems can produce dramatically different outputs with only small differences in input---known as the butterfly effect. So, if weather were just exactly on a bifurcation point, and then a seismic event triggered a shift in gravity that caused clouds to move ever so slightly, it's possible that this could result in a change in weather somewhere down the line.

Still, it's quite unlikely that subsurface currents are a major cause of weather patterns, and even more unlikely that these specific events you mention are in any way linked. The most likely explanation by far is simply coincidence.

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