For what it may be worth: I actually reported for jury selection last spring, about 11 months post-op and 7 months post-FSR.
I told the presiding judge that I was deaf in one ear and that I would appreciate the participants speaking up. He was very understanding but never offered to excuse me and I didn't ask him to do so. I went through the voir dire (prosecutor and defense attorneys question you to ascertain if you're impartial) and was not selected, probably due to my somewhat conservative point of view on crime and punishment, which I (ahem) didn't try to hide. In my state (CT) because I appeared for jury selection was questioned and 'challenged' (rejected) by one of the attorneys (they never tell you which one, or why you were rejected) I'm considered, by state law, as having 'served', so, according to the rules pertaining to jury duty, I won't be called again for another three years.
I have to doubt that a court would excuse you from jury duty based on your word that you're deaf in one ear or get dizzy easily. However, I believe that with proper medical documentation and a physicians statement that certifies your inability to serve on a jury, a court would probably release you from that obligation.
Case in point: over the last 15 years, my wife has undergone major back surgery (2 rods and various other titanium hardware). She collects SS and private insurance disability benefits. She holds a state-issued 'handicapped' license plate, allowing her to park in spots reserved for the handicapped. Some years ago, when she was called for jury duty (following her spinal surgery) she requested her neurosurgeon send a letter to the (state) court stating that she would not be able to sit in a chair for hours a day (as a juror) without major discomfort that would be a serious distraction. He willingly did so and she was permanently excused from jury duty.