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is vague term - unsteadiness. If there is definite sense of rotation, it is vertigo
The body's balancing mechanism is in the inner ear
. An ENT (Ear Nose Throat) specialist is the one to see. They have special tests to confirm or exclude the contribution of the ear - which probably is the case with you.
If there are no clues, then you have to be followed up by a neurologist
For irregular heart beats, cardiologist can help - monitoring for 24 hours (Holter) will shed light.
In the mean time, medicines like betahistine
or flunarazine alone or in combination may help
Wishing speedy recovery