Hi E.,
I hope your little one feels better soon!
I have a couple of thoughts: It could be a virus and not a bacterial infection, in which case antibiotics are useless. Without a culture, it is often impossible to tell the difference. In our culture antibiotics are despensed quite freely (to the detrement of public health) in order to make us feel safer.
The bacteria and viruses which thrive in our bodies thrive at 98 degrees or so. The body raises its temperature to make it a hostile environment to the invador. It is a very useful function of our immune system. A fever of under 102 is nothing to be alarmed about. Let it run its course. If it is a virus, there is nothing to be done for it anyway, save to quell the symptoms tylenol or motrin. My understanding is that it is not a good idea to try to lower a body temperature of under 102 as it is hindering the body's normal immune response.
It is also possible that you were prescribed an antibiotic for which this bacteria is immune. How are the nasal symptoms? If they are going away then do finish the course of the antibiotic. If that has not changed at all in 2 days then it is likely that the antibiotic is not having effect, due to a poor choice of antibiotic, resistance of the bacteria to the antibiotic, or the simple presence of a virus. Either way, do check back with his doctor and let the doc know that the treatment isn't working. S/he might prescribe a different treatment.