Hi Adam, yes the tall blue vase is Aseda. What is the height please? There are two pattern numbers for two sizes: C37/300 = 300mm, C37/400 = 400mm. It's not a Borgstrom design, as I'm told by Swedishmom that all Borgstrom designs have a pattern number beginning with "B".
The two bamboo vases are Borgstrom, B5/80 assuming they're 190mm tall.
Not sure if the larger bamboo vase is Aseda or not, but I would guess not.