Kepler's law is about the motion of planets around the sun, and Newton's law is more general about the motion of several particles due to the attraction of gravitation. When there are only two particles, one of which is super lighter than the other. Under these special conditions, the light particles will move around the heavy particles, just like planets move around the sun according to Kepler's law. However, Newton's law also allows other solutions, the planetary orbit can be parabolic or hyperbolic. This is something that Kepler's law cannot predict. Under the condition that one particle is not super lighter than another particle, according to the generalized two-body problem, each particle moves around their common center of mass. This is also something that Kepler's law cannot predict.
Kepler's law, either in geometric language or equation, links the coordinates and time of the planet with the orbital parameters. Newton's second law is a differential equation. The introduction of Kepler's law involves the art of solving differential equations. We will guide Kepler's second law first, because the guidance of Kepler's first law must be based on Kepler's second law.