Anyone know anything about disc brakes?

So I've changed my pads. I'm using BR785 callipers and have put in there the same icetech pads that were going out (so that'd be J02A). Rear fine, front rubbing and the disc is slightly moving towards the outside when breaking (was fine with previous, worn pads). I've tried these:

• centring calliper: no room for manoeuvre here as it's almost not clearing the disc already
  
• having another look at the pistons, they seemed to be fine (inside one not deliberately sticking out)
  
• swapping L/R pads. Still some rubbing but the disc doesn't move any more so I guess that's a step in the right direction? Can I do that though? I mean, it seems fine, but the pads are very clearly marked "L" and "R"
  
  

Next steps would be to just ride it a bit to wear the pads? And/or sanding them down a bit?

Thanks for your insight.

(On a side note, my spell-checker is set to UK English, and writing "centring" and "calliper" feels weird.)