You will see a difference between a formula bottle and a breast milk bottle - he's doing well to go 3 hours on breast milk! My DD has some breast milk bottles and would be starving at 2 hours on the dot on breast milk but could go 3 hours on formula. The amount you are offering sounds about right for his age, you can pace the feeds a bit but stopping to burp after about 30mls, sometimes when they have wind they root.
Waking for a feed at 1.30 after a 10pm feed is very normal for his age, it had been over 3 hours - I would have just fed him to be honest and not bothered to re-settle, it quicker and you get back to sleep more quickly too. He's too young for any feed to be habit at this point, if it's been 3 hours since his last bottle assume hunger and feed when he wakes. There is a growth spurt around 3 weeks and again at 6 weeks so he needs all the calories at this point.
With a bottle feed there should be enough in the bottle so that he can stop when he is full, not just because the bottle is empty so you may need to increase the bottles by an oz (30ml). Don't worry about the recommendations - if they are from the formula tin they don't really apply to breast milk bottles.
Not many babies get settled on an EASY this young, it takes a good few weeks for them to get used to the world and needing to be close to you now is a big part of it. Have you got a sling you can pop him in?
HTH a bit!