The sentence isn't parallel... To make it parallel, it would be, "The patient's symptoms were dizziness, headache, and a fever."
Or, "The patient's symptoms were that his head hurt, he had a fever, and he was dizzy"... But, that's just too long and complicated to *work* conversationally... It sounds awkward and clumsy... So, the first sentence is better... ^-^
Please feel free to send me a message if you have any more questions. ^-^
~Megumi