Suggest Medication For Persistent Cold And Cough

My 2.10 yrs old daughter weight 11 kgs ..has having cold and cough for 5 days. Can I give her antibiotics? She has been taking ambrolite D & diolsyn 2.@5 ml but no use..cough is get worst.. Though she has not had any fever since yesterday but she has even stopped eating completely..please advise Also are there any side effects?