Welcome to the wonderful world of puppyhood.
It is normal for a puppy this young to get up once during the night. I noticed you stayed up from 12:00 a.m until 1:30. Try not to make this a habit. If the pup is good and tired at 9 or 10 o'clock and wakes up during the night, bring it outside and let it go potty and put it back to bed and try to ignore it's cries. You can give it a little chew bone or a fav toy so it can play if it wants until it gets sleepy. Sleeping from 1:30 until 7:00 is actually pretty good. Within a week the puppy should be quieter at night and have a routine going. Unfortunately a puppy this young is going to want to get up fairly early and even 7:00 is kind of late for them. Eventually by 10 to 12 weeks, it should be able to go 8 to 10 hours during the night.
Caretaker of 2 dobermans,, 1 schnauzer, 5 cats, 3 goats, 1 parrot, 1 bearded dragon lizard, 11 chinchillas.
Rest in peace, Cricket, Casey, Bella, Yank, Chloe and Bones.