From the above history it seems like ur child might have nose block.. U can use nasoclear nasal drops and clean off the mucous.. Regarding temperature- ideal temperature of a room for infant's is 24-26*C.
Next Steps
try maintaining an ideal temperature in the room and avoid cycle of heat and cold.
Health Tips
watch for any breathing difficulty in baby.. if u see baby having increased efforts at breathing plz consult a Pediatrician.