Invaders included Cap and Bucky.
Howling Commandos included Dugan and Gabe.
Morita and Dernier were recurring allies of the Howling Commandos, but never real members.
Falsworth is a bit of a doozy. On the one hand, yes, Union Jack was in the Invaders, but that was Brian Falsworth. The one in the movie is James Falworoth, Brian's father, who used to be Union Jack back in WWI (the movie moved him ahead, time-wise).
At the same time, Falsworth seems to be visually patterned after Pinky Pinkerton, who was a member of the Howling Commandos.