If that's going to bother you then you might want to switch to a different test center. This site has reviews of test centers: http://www.simugator.com/lsat-test-site-rater.php
But even on my Samsung s6 the function appears on the video but when I press the different speeds it does not speed up and has no full screen option.
There's only a button below that says switch to flash player
I think you should try to learn how to be able to switch between problem types, and remember how to work through the SA questions after having done a series of other question types. It's a different kind of mental work that you need to harness.
Just out of necessity, I would switch to get certified financial planner to make sure money not embezzled and then hire one of you to protect my interests:)