PlaytexWomen's 18 Hour Seamless Smoothing Full Coverage Bra, Cool Comfort Wireless, Wire-Free, (1-Pack and 2-Pack), US4049

Am I missing something about the size? I am petite, weigh less than 100 pounds, but I normally wear a 38B bra. This one fits three of me at least..

Is this a fully padded bra

is this bra wirefree ?

if 38dd was a little tight would 40dd be the size I would need