Apologies again about the delay!
ESA and PIP are completely different benefits with completely different criteria, it is therefore possible that your change in ESA would have no impact on entitlement to PIP.
If you would like more specific advice, if you post details of your condition/s, rates of ESA and PIP, and details of reason why the Tribunal increased your points we could take a look. If that's all a bit too much to post online, then perhaps try a local agency for face to face advice? Or the 'Benefits and Work' website have a PIP Self-Test tool, which you could use to try and gauge if your current award is correct:- http://www.benefitsandwork.co.uk/
Hope this helps!