Must I submit test results for all tests if school requires only two but wants to see "all scores"

You should ask the college admissions office to be sure, but it sounds to me like this:

for example if they want two subject tests, one science & one math, and you took 3 subject tests (Chem, Physics, Math 1) twice, and you decide to submit your Chem & Math scores, you should submit all Chem & Math scores and not submit Physics at all (because irrelevant to application).

Unless you did really well on all your Subject tests then you might as well submit them all.