I have a 4 week old DS who does not sleep for more than 15 minutes during the day and the nights aren't any better.
I typical day starts at 7:00 then DS won't sleep at all throughout the day apart from 3 5 minute 'naps' after having a feed and then he will wake up and stay awake. This goes on all day and then at night at 23:30 I will feed him and put him in his Moses basket, he will wake up at half 2 for a feed and he will stay awake for 2-3 hours! He will fall asleep after a feed and as soon as he gets put in his Moses basket he is screaming within 5 minutes, It is exactly the same during the day. Eventually he will fall asleep (generally after 3 hours) for 2 hours, wake up and start this all over again.
I've tried everything, Letting him get into a 'deep sleep' before putting him in his Moses basket, singing to him, playing music, having the TV on, having no noise at all, making the room pitch black, having a night light on and swaddling him.
I also have a 2 year old and I am knackered, this cannot be normal for a 4 week old surely? It has been like this for a few weeks now and I am exhausted.