Here's the real deal....
Ear infections are usually caused by yeast, which is why an antibiotic causes an increased risk of another ear infection by 33% according to medical journals.
If you are breastfeeding, make sure you are keeping dairy to a minimum and no sugar (see candida diet). Perhaps taking PB8 - an AMAZING probiotic you can find locally - and even maybe give it to your baby. His intestinal flora is destroyed by the broad-spectrum antibiotic, so replenishing the flora will allow his body to absorb the nutrients out of the breastmill better and get him sleeping faster.
I also use vitamin A and Herbs for Kids Echinaces/Goldroot for my kids....as well as PB8, which I open the capsule and dump the contents into their mouths.
My first baby got 3 ear infections and I stopped feeding him dairy, and they stopped. He can have dairy (no allergy), but it's in moderation and not everyday. My other two, I never gave them any milk, yogurt, etc - sometimes cheese and neither one of them got ANY ear infections.
Quick story:
My first son got an ear infection at 3 year old, so I took him to the chiropractor to be adjusted. His middle ear was red (I used an otoscope to see for myself before I took him) and he was crying and going on about his ear. I got him adjusted, gave him PB8, vit A with D, Echinacea/Goldenroot and looked about 5 hours later in his ear and there was NO readness and no swelling in this ear drum (tympanic emembrane). GONE. 5 hours.
http://icpa4kids.org/Find-a-Chiropractor/
PS: The tylenol can be hard on a baby's liver, so the PB8 will help his entire digestion get back in order.