I'd definitely use a little wood glue on each piece as you're going through the assembly process -especially on the holes that those wood dowels get inserted into.  Just stick a little wood glue in there as you go. It's a good idea to use wood glue with each of the screws as well.  You especially want to make sure you do so on those drawers.  It just gives the whole dresser more stability and will help the furniture to last longer and wear better.  I'm a shop teacher, so take it for what it's worth.  It used to be that manufacturers included a little packet of wood glue with the hardware.  You be glad you took this extra step in the long run.  It's a good quality dresser and I don't see having any future issues with it. The wood glue is just like a little insurance.