Antibiotics don’t necessarily damage the body – aside from the microbiome – some even have anti inflammatory properties!
For a healthy immune system in winter: be physically active (10,000 steps a day), eat a balanced and varied wholefood diet inc. oily fish and other seafood (omega-3s/ vitamin D/ zinc), get regular lunchtime sun exposure (vitamin D). In the UK this applies May to October only: at this latitude UVB is too weak otherwise, ditto late in the day. Please discuss supplements with a medical professional (risk of overdose).
For respiratory health: do not smoke, limit being in places where people have smoked, be vigilant with asthma monitoring and meds, ventilate the home/ workplace/ car daily *all year round*, keep on top of any damp or mould issues. Damp is often inadequate ventilation: warm air is wetter than cold air so heating is not the solution.