One of you will need to close their claims, ESA or UC as there can only be one Income Related benefit claim in a couple.
I'm not sure your partner can be added to your UC claim as they are receiving the SD Premium but I am not 100% certain of this as it is a slightly unusual situation.
Your PIP awards are not a factor.
You should put your information into one of the online benefit calculators to understand what you would receive as a couple with both options.
