with ooky- please post a weight history on your baby to help use gauge whether the pediatrician is on the right track.
A lot of what you mention sounds very normal. Breastfed babies often prefer small, frequent feedings to large, infrequent ones, which explains why your baby isn't interested in eating 4-5 oz from a bottle. Your pediatrician is absolutely wrong that 4-5 oz is what a baby "should" be eating, and is also wrong about the baby's sleeping pattern. Some 2 month-olds are sleeping 3, 4, 5, even 8 hour stretches at night- but certainly not all!!! My kids were both nursing every couple of hours throughout the day and night until close to a year, and they were by no means skinny babies. Finally, don't worry about the self-soothing thing. Self-soothing is totally oversold to new parents, like it's something they must train their babies to do or else their kids will be in bed with them forever, and will never get to sleep on their own. Hogwash! When you are ready to move your baby to a crib, and feel the baby is ready to self-sooth, you will get there. But 2 months is just too early to force that enormous transition.
Coolest thing my big girl said recently: "How can you tell the world is moving when you are standing on it?"
Coolest thing my little girl sang recently: "I love dat one-two pupples!"