I Have Just Been Prescribed Amoxycliin Antibiotic As I Have

I have just been prescribed amoxycliin antibiotic as i have a type of influenza which has caused a chest infection. I am an early childhood teacher and i relieve in a day care centre. Recently many of the children including babies have been sick with green mucus running out of their noses, which we need to help wipe off with tissues. Is it likely that I caught it from them? I have had the infection several weeks, including in my sinuses. Am i infectious to others? I am unsure if my fiancee should visit as he may catch it. My GP had my phylem analysed so she knows what strain it is to prescribe, but i cant remember the name of it. Thank you