[kyrilliondaemon]

Is the hamster still sneezing? I'm afraid that sneezing in hamsters is usually a sign that the hamster needs vet treatment. Hopefully its just a one off and the ham is ok

I also doubt that fur loss can be diagnosed from a description

I understand that you may not have any local vets who see hamsters but even if the sneezing has stopped you do need to find a vet who will see your hamsters in the future. Not all conditions can be treated at home, many hamster health issues do require vet treatment, sometimes hamsters need medication only a vet can give, othertimes they need the vet for other reasons. Plus unfortunately you may find yourself in a situation where you have a hamster suffering badly and needing euthansia, a vet will be very handy then too.
I personally rely on my own vets a lot, without them some of my hams lives would be very different and theres a chance Fwirl wouldn't be here at all. I'm sorry to say it to someone who doesn't currently have a vet, but if I couldn't get my pets to a vet I'd not feel comfortable keeping them and knowing they could end up suffering one day because of my inability to see a vet with them.