Yeah those Hawkgirl matches are confirming my fears for that matchup. Joker has alot of trouble opening her up because of the range on his normals vs her ability to pressure while spacing things out and he doesn't have much to do against her when she's in the air.
EMP Dark, good shit. Your patience is definitely clutch; that's something I gotta work on. One thing I would suggest, if I may, is to incorporate 212 into the neutral game more. You seem to run 113 more, which is good in that it's an 8f startup and is +1 on block, while 212 is 11f startup and neutral on block, however 212 is a much bigger part of Joker's mindgames. First off, you can block confirm into 213 instead to finish with an overhead (and this is +1 on block) AND is a hard KD- makes for an interesting ghetto 50/50 here on whether or not you're going to cancel into MB RLG (low). Speaking of which, you can hitconfirm into RLG for a combo, so the options there are huge. Another big gimmick that you might be aware of is the free teeth thing- you can do 212 and cancel into teeth at the end, and block before corps charge can catch you, meaning it's a completely safe setup. If they try to pursue, push block them into teeth for a combo, and if not, you can establish pressure. I tend to only use the 32 string to get into combos when I know I can for a full combo punish because the 15f startup is a bit slow and the options are more limited (also, you can let the second knife hit of 32 hit and then go into RLG).
Some other random combo optimization stuff- in the corner you can do starter, MB RLG, d2 teeth, j2, teeth, 3 flower, 3 2 teeth for low 40%s (or flower to just terminate for mid 40%s and stand them up) and follow with a j3 or mb f3 and combo from there. Whenever you reset with a teeth and j3 setup, the best case (I think) is teeth, j3, teeth, j2, teeth, 3 flower, 3 2 teeth (to keep setups going) or flower (terminate for damage) for 48-52%.
Sorry if you already knew all this, just thought it might be worth throwing out there if you didn't! Thanks again for the matches.