It will not affect the antibiotic. Probiotics will help replace the good bacteria in the gut, the antibiotics kill the good bacteria as well as the bad. If I have to take an antibiotic myself, I take a probiotic between doses as well. It can help prevent, or reduce any digestive upset from...
I would finish the tylosin and then switch, if needed. Since they seem to be improving, it may be working. I don't like to combine meds unless it's really necessary. And if you are giving multiples it's hard to know which one might actually be working. I can't find anything that says there...
Sneezing would make it more likely respiratory, and since they seem to be improving, I would continue the medications. Amoxicillin is usually well tolerated as well as tylosin, I would finish both. Green can also be from increased bile in the droppings if they aren't eating well. If they...