I did not need a test. My neuropsychologist and my physiatrist consulted with an ENT after my cognitive tests came back so positively and it is "highly likely" in their words that this is fistula that was re aggravated from my initial injury by the loud music (I am also a professional musician, so I am constantly encountering loud sounds). There are several tests that can be performed but are rather invasive and should not be performed unless the symptoms fail to improve because they can actually worsen tinnitus and dizziness for a time after the tests.

As for the plane ride, I would strongly suggest avoiding it. I flew from London to Pittsburgh 6 weeks after my ear injury and experienced worsening symptoms in the weeks following the trip. This is called barotrauma from the fluctuating pressure in the cabin. Changes in elevation and barometric pressure from the weather also affect my tinnitus and hyperacusis. I was able to fly prior to my 2nd injury, which was 5 months post concussion without any problems at all though. At the moment, until this injury heals, I am avoiding all forms of long travel and doing my rehab exercises. Do what you think is best.