VERY interesting trailer (and nice look at that Scarecrow hazard). I wonder if that's a different stage than the asylum we have?
Potentially spoilery for people not following Injustice plot things to follow:
So, we see that the post-Regime Joker has no idea what's going on. That means one of three things (that I can come up with, at any rate):
1. Dead Joker's a fake, the plot of someone else who intended to make the Regime happen.
2. This is a Joker from before he even concocted the plot agianst Superman, brought to the future by some unknown means (and later returns to pull off that stunt). His motivation for killing Lois and letting himself die would very likely be bringing about the future he saw. What/whoeverever brought him into the future in this case likely had the same motivation, unless it's purely accidental.
3. Joker from a parallel universe, don't really know what the implications of this would be.
Can't say much about Harley's gameplay, not much we haven't seen here.