Do testosterone tests also check for other types of hormones?

I had a hemorrhagic stoke center in the Thalimus gland. Can this be the cause of low testosterine? I'm thinking the damage to the gland is causing tertiary hypogonadism. I'm waiting the result of a testosterone test. Does the test also check the production of hormones GRH, TSH, and/or LH. If not, is the a test that can be done to check these?