bm979
Congratulations on the LCWRA award, well done.
The DWP are not going to claim any other benefits on your behalf, you need to do it yourself.
You can claim New Style ESA providing you have at least 50 weeks of NI Contributions and/or Credits in both of the Tax Years 2019-20 and 2020-21. Any NS ESA will be deducted from your UC so I would not expect you to be better off unless you have a lot of deductions from your UC payments, otherwise, the only advantage is the NS ESA pays Class 1 NI Credits which can be used for future NS ESA claims whereas UC pays Class 3 Credits which can only be used for a full State Pension.
PIP is a separate benefit intended to help those with disabilities with the additional costs that those disabilities often cause. There's a guide to PIP in the Guides section of the site./
Gordon
Nothing on this board constitutes legal advice - always consult a professional about specific problems