As you have already given him the medicines so do not worry now. It is better to refrain from self medication
. But you have given him an antibiotic Taxim O and it is a course of 5 days. You can give him medicines like calpol (For fever), Domstal
if he has vomiting and loose motions next time alongwith ORS solution in water. But do not give antibiotics without doctors prescription and guidance. Now that you have started giving antibiotics it would be ideal for you to complete the 5 day course.
If he does not have fever and vomiting stop all medicines except the antibiotic. Stop the antibiotic after 5 days are completed. Till then give him ORS solution in water to drink if he passes a loose motion. Your son should be alright within a few days. It takes time for babies to recover fully.
Henceforth better take him to another pediatrician
if your doctor is out of town.