Jojo
Contacting the TS is up to you, they may be able to tell you wait times for a new hearing.
You can make a new claim for ESA immediately, however, it will only be accepted if you can show a documented deterioration in your current conditions or a new conditions that would reasonably result in an award. Even if the claim is accepted, they may not pay you on it until you have attended an assessment.
Gordon
Nothing on this board constitutes legal advice - always consult a professional about specific problems