Get Your Cat Care Questions Answered By Cat Vets ASAP
Yes both of these symptoms are commonly seen with an upper respiratory infection (URI). Also dental problems can cause these symptoms too.
What you can do at home to help him feel better is keep the nose and eyes clean of discharge. You can use warm water dampened cotton balls or Qtips to do this. You can also bring him in the bathroom when you shower. This will allow the steam to help break any congestion in the head and chest. A vaporizer can well too for this. You can give him a 1/4 tablet of Chlor-Trimeton every 12 hours for sneezing
You can get Chlor-Trimeton at any drug store. It is next to medications like benadryl.
If it does not get better in 7 days after starting the OTC medication, you will need to get an antibiotic from your vet to clear it properly. Sometimes if URIs are left untreated they can cause eye ulcers or even pneumonia.
Right now it is an easily treatable condition.
Please let me know if you need further assistance with this.