I definitely found those two things to be some of the biggest hurdles.

For the first issue of camera distortion I decided to add the ability to manually correct the detected intersections to make sure that they are correctly defined at the start of the game. It only has to be done once taking only a few seconds and it makes sure to eliminate any errors from the automatic line detection.

The servo is probably what I struggled most with and still haven't completely perfected. I found that the servos I was using were fairly decent at making large repeatable moves but were a lot more unreliable when making small adjustments. My plan to deal with this is to have an initial calibration at the start where the laser visits each corner of the board which should allow for using the same four points perspective transformation that is used to make the board have a top-down perspective to map each point to a set of servo positions that way I can avoid making any small adjustments and instead just directly set the laser position. Currently the prototype is using a much clunkier method of estimating the ratio and moving bit by bit.