We went to the pediatrician today, they prescribed antibiotics, I hear…

We went to the pediatrician today, they prescribed antibiotics, I heard they can't just prescribe them like that, right? We're all sick, first two cough, then two throat hurts with cough and runny nose, then strong weakness, body aches and so on. The daughter got sick yesterday and today her throat is red, she throws up the mixture, only breast, it's clear she's very bad ?. They prescribed Ospamox 3 times a day after meals and Rotobiotic 2 times a day, ambro syrup and chamomile tea, and a nasal spray for the nose, kzyl may. Has anyone had similar treatment, did it help you? I doubt about antibiotics, I think I'll schedule