The Act requires the University to maintain a publication scheme that is approved by the Information Commissioner's Office. A publication scheme is essentially a classified index to information that the University holds which is intended to be made routinely available to the public.
Does the questionnaire ask for existing recorded information? If it does, it could be classed as a valid FOI request. However, you should bear in mind that there is no obligation under the Act to create new recorded information in response to an FOI request. Therefore, questions which ask for judgements and opinions may not be valid FOI requests.
It is highly unlikely that a question submitted to an email list would be regarded as an FOI request, unless specifically labelled as such.
No. The FOI Act does not require University librarians to do research for readers. The library's resources are exempt from individual access requests because the information is already 'reasonably accessible' (s21).