Thank you for your question.
With the symptoms that you are having, I would recommend that you should have a MRI of the brain just to be sure it is normal.
Dizziness and vertigo can happen with a tiny stroke at the brainstem which is what I would like to consider and rule out.
I would recommend that you preferably be referred to a neurologist by your GP.
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Then a CT scan is something that I would recommend doing.