I know i put in my passport number, even tho' it had expired, they'll still have the details on record. You still have to put in fathers details as he would have parental responsibility.They also need to check there's no illegal immigrant situation going on either.. Sorry i don't know about the other bits -Is there a phone number you can call to ask?
Is your DD's father on her BC ? If so I would add his details, though they dont have to go on With regard to your expired passport.. it doesnt matter. What the Passport Office are trying to assertain is that your DD has a right to a British Passport and this is gained through her parents (and sometimes GP's)
IME the Passport Office helpline isnt always that helpfull. They use a call centre in India who dont seem to understand the concept of single parentdom