FTM diaper bag questions.

Polly • 💙
1. Do I pack a diaper bag to take to the hospital along with my hospital bag which will contain some baby stuff like babies take me home outfit etc? 
2. What goes in a diaper bag? I just tried to fill mine I got a nice big sized one but it seems stuffed to the gills! I put one outfit some diapers a few packs of wipes pacifier holder with two pacifiers a bottle a wubbanub, changing pad( that comes with bag) pacifier wipes. Socks, a hat, a blanket, a swadle, a bottle of baby powder and a small tube of diaper cream and it barely closes! 😱am I missing things? 
Thanks in advance! 😃😃