Do thyroid disorders cause daily headaches and dizziness?

Not likely. But possible. Why do you ask? Thyroid disorders, generally hypothyroidism at age 68, can cause fatigue, lethargy, weight gain and a feeling of being cold when most are warm. Headache and dizziness would be down the list a ways, but can sometimes be sort of vague symptoms of a bigger problem. If the whole story fits, discuss with your primary care doctor. Simple blood tests will generally tell.
Typically not! Typically thyroid disorders do not cause headaches but they have been reported. The risk is higher if your levels aren't optimum. Consult your pcp as they might have to re-evaluate.