I've had a sore throat for about a month now with a yellow soft palate and red veins running through the tonsils. I've also been feeling dizzy lately.

Infection. Tonsillitis is just one of the many infections that you may have, as well as strep, Thrush, mononucleosis, and so many other possibilities. Please call your General Physician or an ENT for an examination, and appropriate treatment.