Sandra
Unfortunately a Tribunal can only consider evidence that is relevant to the time of the original decision, so the fact that your condition has deteriorated since then is outside of a Tribunals scope.
You can appeal to the Upper Tribunal, but only if you can show there has been an error of procedure or law, you won't receive any benefit while you do so, and you will need the assistance of a representative.
If the decision for your ESA (not the Tribunal one), is more than six months ago, then you can lodge a new claim. If not, and there has been a significant deterioration in your condition, then you can re-claim on this basis.
I don't think there are any equivalent timescales for making a new DLA claim, so you should be able to do so immediately.
Gordon
Nothing on this board constitutes legal advice - always consult a professional about specific problems