Hi Quizmad.
Re 13. A name for someone who is rather 'old fashioned' /geometry aid.
Please can any one help with 73. Head soprano vaguely unwell on the seafront. (7)
quizmad - 55) The crime is a "burning" one, and that goes inside a young type of attendant. 57) Think of a word meaning " a piece of cake" . That will give you most of the word!