Wow...10 weeks is very young. I'm surprised that you were able to get him at this age. Don't worry, he's just too little and needs his rest. In addition to watching his blood sugar as previous post suggests, make sure you watch his body temperature as well. Little ones tend to get cold easily, especially at night. If you can't find clothes his size, use a sock and cut holes for his head, legs and to go potty.
Welcome and enjoy your sweet bundle of joy