Stability relates to hull shape, short hulls tend to wander back and forth a bit while coming on plane, and at low speeds jet pump directional stability is reduced so steering correction is necessary at low speed. Wind plays a role as well. Not sure though, does rocking back and forth mean from side to side or front to rear? I wonder if you're describing "porpoising"? Rocker keels tend to porpoise more than a straighter one.
Changing pump shoes to a different shape such as a delta can help change the characteristics on plane, or installing an extended ride plate, even changing the angle of the steering nozzle can help (I moved my Sportster's steering nozzle to the up position to help reduce porpoising).
What you're describing might be normal, it's hard to know without further info such as top speed and RPM and if there are acceleration problems.
If the outer fiberglass layer has separated from the lamination, the hull could behave badly with bizarre planing characteristics, so check your hull bottom carefully.