An MS Specialist is a neurologist whose specialty is MS. I would wait for your appointment on the 16th and than ask your doctor about MS and if the symptoms you have are neurological, then the MS Specialist is a good place to start. You might have another cause (there are 400+ MS mimicries), but the MS Specialist can refer you to another specialist based on a specific test.
There are no specific tests for MS and the only way to arrive at a diagnosis is to eliminate the known mimicries. Many of these mimicries can start to be eliminated with the blood tests. If you have had a CT with nothing which is seen to cause symptoms and your blood tests are clear, then you will probably be headed for a neurological cause. With your elevated lymphocytes, you should also check for things such as Lyme Disease which can mimic MS.
Even with familial MS cases, MS is not inherited and is most often found between blood siblings, BUT even siblings have a statistically insignificant chance of both developing MS.