paperwork with me to show them?

No, unless they specifically asked for it. If you were boarding her, you would, but for grooming, no.

some grooming places require them so i would say take them just to be on the safe side.

Yes , typically this is a standard requirment in all grooming shops . When there is many dogs in and out of kennels your dog may become more subceptable to other k-9 issues such as heart worms, kennel cough , and rabies .. Some shops are starving for money and will take anything with four legs and a tail. these places usally do not have high standards for animal protection.

no, they really don't care about immuniazations, they are trying to get as much business as they can.

depends on the groomer. Most will require rabies. I would take them just in case.