Swift Concentration should work on Planar Bubble.
PHB says you can't cast a spell while concentrating on another one; I would generally assume that extends to concentration in general, though the RAW isn't quite clear. Swift Concentration doesn't have any language to override that prohibition (the Extraordinary Concentration feat does, but doesn't work on Planar Bubble).
You could definitely make a full attack while using Swift Concentration.
Remember that you can only use a skill trick 1/encounter (or 1/minute outside combat).