Until you know that you are not dealing with kennel cough, it is a safer for all k9 companions in the area to be kept away. You should isolate your dog until the vet is ready to see them and not expose other dogs to the possibility of a highly contagious bout of kennel cough. Traditionally these types of infections can be treated with antibiotics and cleared up in time.
Allergies would be a best case scenario in this situation because they aren’t contagious and they are usually seasonal and are always treatable in one form or another. Allergies in dogs can be cause by dust, mites, pollen and molds. The presence of these allergies usually means the owner is suffering from them as well. Environmental changes can be made, ie a good cleaning, limiting time outdoors when the pollens are heavy, checking for and eradicating any mold present, removing carpeting and heavy drapery that trap and hold dust.
Genetic predisposition can be managed by using simple tips from your vet to keep the airways clear and combat sinus issues.
Any way you slice it, get your pooch to the vet to find out. It will save you a ton of time and worry.