I have a 1776 cottage (not listed),3 story holiday let,with open plan kitchen/living room. I'm in the process of fitting fire doors ( I will be sad to see the original doors go) they will have to be bespoke. My questions are=

1, There as never been a door at the foot of living room staircase, should there be one?

2, The three doors on the upper floors that are in place at the moment are going to be replaced with FD30s-rated doors. Do they need to be self closing ?

 

You are outside the scope of  "A guide to making your small paying-guest-accommodation safe from fire" which would not require self closers as you have both 3 storeys and the stair opening into a habitable room rather than direct to exit or exit via a hallway.

Principles in the main guidance would see a protected stair and self closing doors and either exit via a protected corridor creating or an alternative exit route or suppression. As this is potentially too far an extreme in the other direction you need a happy medium, which as it's outside the guidance, is best done by a professional risk assessor with sector experience as your fire risk assessment will have to justify why the premises layout is acceptable despite being outside the guidance.