According to your medical history (panic attacks), your symptoms (feeling that you shake or sway) and negative reports from the neurologist and ENT you could be experiencing an anxiety disorder. It is not the same if you only feel something (shaking, dizziness) or really have it. Shaking (tremor), for example, is a neurological sign that can be seen. In your case, the neurologist didnât see any shaking. Dizziness can be also checked with certain neurological tests that, in your case, were also negative.
Obesity canât cause shaking or dizziness but can support the anxiety. Obesity also has a negative impact on your physical health. You could try to decrease the body weight. You can also check your glucose level because hypoglycemia can cause shaking and also worsen the anxiety.
Your anxiety is probably part of a larger depressive disorder so selective serotonin reuptake inhibitor (Deroxat) might help. Psycho therapy can also be useful.