Twitches do indeed happen to people with MS. MS is a disease of the central nervous system. When the CNS is damaged by scarring of the myelin, then symptoms occur. These can be anything imaginable depending upon what part of the CNS has been damaged. These can range from numbness, tingling, twitching, tremors, sleep disorders, vertigo and balance issues, migraines, seizures, spasticity, cognitive problems, vision disorders, bladder and bowel dysfunction, blindness and paralysis.
Unfortunately, Medstudent, all of your symptoms can be associated with MS. Fortunately, they can also be associated with a number of other more treatable illnesses (migraines, anxiety and panic disorders, lyme disease).
Momtothree is correct that you need to have lyme ruled out. This can be extremely difficult. There is very poor agreement as to how either of these diseases is diagnosed and worse yet is that they have polar opposite treatments. One boosts the immune system the other means to modify/suppress it.
Good luck. We are here with any questions you may have. Below is a really good explanation of the diagnostic process of MS. Worry and stress can and will exacerbate any disease. Try to find ways to manage that stress!!! It is one of the harder and more important things we do.