Be sure the new points have a steel spring as well as the copper strip that conducts the current to the points. Some springs are capable of being removed, and the copper strip alone won't provide enough spring tension to keep the dwell steady. Back when all cars had points, we knew to align them by bending the fixed (grounded) point contact to get the best contact surface. "Out of the box" points seldom have the correct alignment. Snap-On, Sun, and several othe tool manufacturers made point aligning tools. They're still available on Ebay.
Jerry