The borderline temperature elevation may be a sign of a respiratory infection superimposed on asthma, in addition to the irritation from cigarette smoke and possibly cat allergy. If there is an infection, it is likely to be viral and will resolve spontaneously within a few days. Your exposure to passive cigarette smoke and likely cat allergy are serious problems for anyone with asthma. You should have a candid discussion with your parents regarding how their cigarette smoke is harming you and your lungs. You should also request that the cat be kept out of your bedroom.
In addition, you should avoid sitting on any carpets or upholstered chairs.
Avoidance of irritants and allergens is the best approach for people with asthma but it sounds like that may not be possible, in your current situation. Your inhaler may be inadequate for the challenge of these precipitating factors. You should consult with your doctor and ask if additional medicine, including a steroid inhaler might be indicated, at least while you are at home.
Good luck.
i have had a cough and sore chest off and on for three years. I think it is getting worst all the time. The Doctors checked for asthma but it was negative. The cough is so bad that my voice has never been the same since. Sometime I find it hard to push out my voice to say the words I want. I am tired and don't feel good please help