My advice would be to: Establish that the doors are solid core and in suitable condition, record your findings.
Add suitable BSEN1154 compliant self-closing devices and make sure all doors self-close completely, reliably, smoothly and without risk of causing a 'trapping injury' - of fingers etc. Add intumescent fire seals and perimeter smoke seals. Make sure the door to frame gaps are between 2mm and 4mm (within reason). Replace the existing letter plate with a fire and smoke rated item and attend to the door threshold so that it will restrict the passage of smoke in a fire.
UK Government advice about fire doors can be found at https://www.gov.uk/government/publications/fire-safety-england-regulations-2022-fire-door-guidance/fire-safety-england-regulations-2022-fire-door-guidance