Hi, my name is gilly08! Currently on half pay partner gets pip and private pension can I claim lwrca

LCWRA is part of Universal Credit, it's not a benefit on it own. Whether there's any entitlement to UC will depend on your joint circumstances because it's a means tested benefit you'll need to claim as a couple. If you have savings/capital of more than £16,000 you're excluded from claiming. You can use a benefits calculator to check entitlement. https://www.entitledto.co.uk/benefits-calculator Your partners pension will be deducted in full from any UC entitlement. 

There's New style ESA if you have the correct NI contributions in the previous 2 tax years. It's not means tested so savings/capital do not affect the amount you maybe entitled to. However, if your earnings from your employer include SSP then you can't be paid ESA at the same time. You can apply 3 months before the SSP ends and you'll need a fit note and the SSP1 form from your employer but payments won't start until SSP ends. (if there's entitlement) https://www.gov.uk/guidance/new-style-employment-and-support-allowance

If you claim both of the above at the same time the ESA will also be deducted in full from any UC entitlement.