D.B.
A low grade fever, by itself, is not something you need to treat. It's the sign of the body's immune system working.
It sounds like the antibiotic isn't strong enough to knock out the infection entirely, or it's the wrong antibiotic for your particular infection, assuming you have taken the full course as directed. With the overuse of antibiotics nationwide, as well as the overuse of antibacterial soaps and things like Clorox, the weaker bacterial are killed off and there's a perfect environment for the growth of antibiotic-resistent "super bugs." So you may have one of those.
If your cough is deep in your chest (bronchial) vs. in your throat, you may need an expectorant to get rid of excess secretions, as well as a cough suppressant (especially at night). A combination of the two makes you cough less but makes each cough more productive by increasing the amount of secretions that are loosened with each cough.
You could also have something else on top of it, such as an allergy to either the dust in your home or something like mold, which a lot of people have in their attics and bathrooms and occasionally when they over-humidify. We've had some mild days, so if you get one that's in the high 50s or above, I'd suggest opening your windows, even for just 15 minutes, to get an air exchange.
And of course, discuss again with your doctor.