White blood cells being elevated generally indicates an infection of some sort, somewhere. I don't think this is related to your hypothyroidism, other than people who are hypo are often more suceptible to infection.
There are NUMEROS things that could throw off platelet count, and this may be something to discuss with your doctor, depending on how elevated the count is. It might not even mean anything at all.
I am not a doctor, nor have I ever played one on TV...