Short answer is yes, SDP and EDP will stop when you get to SP age.
The longer answer is, you may be entitled to claim Pension Credits in which case if successful you can get an SDP paid with your PC. You can start your application for PC up to 4 months before you reach State Pension age. www.gov.uk/pension-credit
Gary
Nothing on this board constitutes legal advice - always consult a professional about specific problems
