Sleeping through the night...

So my little man is 2.5 months old and mostly sleeping through the night now. The issue I'm having is that I don't think he should be but I don't know if I should be waking him up for midnight feedings or not... He'll usually have 4-6oz between 8-10pm, cluster feeding, be asleep around 10 then sleep until anywhere from 5-7am. When he wakes up though, there's no light cooing like before, he opens his eyes and it's full on screaming until I can get a bottle to him. Nothing else can console him. :( Then he'll drink another 4-6, sometimes even a full 7oz, then gets super fussy for an hour or two before finally falling back asleep (if he sleeps at all). I know every baby is different but is this OK at this age? I feel like I'm letting him starve only to over feed him and give him a tummy ache. :'(