It looks like you pulled of a BGA component (12 contacts) as well as a single SMD capacitor or resistor.
Looking at the iFixIt image of the same area and what you have I think you should have no problems re-soldering down the SMD cap/res it is located just below the larger block of contacts near the edge of the board using a small soldering iron and a set of tweezers to hold it in place.
As to the BGA comp, you might be able to re-solder it as well but you'll need to first carefully remove the silicon that covers it on the top Read though the post thoroughly before doing this!
Re-balling the logic board shouldn't be to difficult here as you only need a little solder to re-wet the pads (very little is needed here!). You will need a soldering iron (small) as well as a heat gun with lots of aluminum foil to shield the other areas.
The biggest issue is which way the component sits on the PCB. Before you pull off the silicon do you see any clues in the way the silicon is shaped (depression over the neighboring chips) when the component is placed back down on the logic board? If you can that should give you help. I would peel off the silicon on one side (with a razor blade cut across so you have quarters and mark with a marker one side you know is that side and the PCB with that mark as well) to see if a marker dot or corner is slightly different (pin one index). If you do figure out the indexed position marked on the chip you should be able to translate it with what you marked on the chip and logic board.
OT might be able to give you the chip info as he may have a schematic for this model. Let's see what he says before going forward.