My baby wants me to hold him all day long

Ju

He is almost 3 weeks old and he screams his head off if I put him down for longer than 1-2 minutes. He wasn’t like this when we brought him home. That first week, he would lay in his swing or pack n play for a while. But not anymore! I can rock him to sleep & as soon as I put him down, he wakes up. Idk what to do at this point. I don’t mind holding my baby, in fact I love our cuddle time. But I can’t even pump milk or rest because I’m constantly holding him. And forget about housework. It’s just not happening. Is anyone else going through this? Please tell me it gets better with time.