Advanced: Elliptical Orbits

(Problem from F = ma 2016, slightly modified) Kepler's Laws of Planetary Motion state the following:

First Law: The orbit of a planet is an ellipse with the Sun at one of the two foci.

Second Law: A line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time.

Third Law: The square of the orbital period of a planet is proportional to the cube of the semi-major axis of its orbit.

Suppose that, instead of the standard inverse-square law, the gravitational force followed an inverse-cube law, meaning that the strength of the gravitational force between two objects is inversely proportional to the cube of the distance separating them.

Assuming that everything else stays the same, which of the Kepler's Laws of Planetary Motion would remain true? Check all apply.