Retrosheet put together a detailed page of Jackie Robinson's career here. Although most of Retrosheet's full seasons begin after Robinson's career ended, there is still a wealth of information thanks to the detailed statistical work of Allan Roth.
What spot in the batting order did Robinson hit in most frequently? (Fourth, 2483 ABs)
Did he hit well in close game, late inning situations? (Yes, an OPS of .991, in his MVP season his figure in this situation was 1.225.)
Who did he the most home runs against? (Robin Roberts, 9)
Which team did he hit the best against? (Pittsburgh, OPS of .990)
Big platoon split? (OPS of .900 against lefties and .877 against righties)