Shelley
With regard to your ESA being time limited; if you are placed in the Support Group then your payments will be re-instated, if you are placed in the WRAG, then you will receive NI Credits towards a full State Pension.
Have you checked to confirm that you do not qualify for ESA(IR), if you do, payments will continue.
You can certainly mention your GPs comments, but I have to say that may have little value, as ESA is a test of your capability to do any job, not a specific one.
Good luck
Gordon
Nothing on this board constitutes legal advice - always consult a professional about specific problems