Would you say the small moons and planets are more controlled by external events than internal events? Why?

Small moons and planets are almost completely controlled by the gravitation of other objects (the sun, the planets they orbit, other planets). Gravitational forces from other objects are external.

The small planets and moons (Io and Europa are exceptions) have no internal activity.

Io and Europa are geologically active but simply as a direct result of the gravitational tug-of-war between Jupiter and the other Galilean moons - so again external.

Small moons and planets are controlled more by external events than internal since small planetary objects tend to be dead internally. Since they are dead they produce no electromagnetic field that may change an external event.

the moons movements could be the result of the planets gravity they are orbiting, but as for whether the planets are controlled by objects outside the solar system is unlikely because the nearest object larger than any planet in our system is light years away. if you are seeking for un-natural answers such as aliens and stuff, that's different.