” If the image is adjujsted in telecine, it is important to know where the principal point (the projection of the camera optical center on the film back) lies in the image.”
Film a grid with each prime lens before u shoot.
You can images warp before tracking with Shake, Inferno etc. to work on distortion-free footage.
Pixel Farm, which also produces a Shake, Digital Fusion and AE plugin, can deal with high and low order radial distortions as well as distortions that change over a number of frames. Monet can calulate and export lens distortion data too.
As for erratic keyframes, you could try switching interpolation to Auto Bezier, which will change the keyframes to maintain a smooth transition between keyframes.
https://www.fxguide.com/article212.html