okay, so here is what you should do, go into training mode and just practice this:
6A, Jump Cancel, j5C, j5D, double jump cancel, j5C, j5D, 623 D, 236C, 214C
untill you can do it pretty much perfectly every time. Then try:
5B,5C,5D (2 hits), dash cancel, 6A, Jump Cancel, j5C, j5D, double jump cancel, j5C, j5D, 623d, 236c, 214c
as far as your questions:
after a 22C, if it is early is a combo (under about 6 hits), you can link a 5B,5C, Hell's Fang + follow up
if it is late in a combo just dash in afterward and go for a mix up.
After a hit 6C, you can either high jump and then do 5c,5d,jc,5c,5d, Inferno Divider....
or you can buffer in a Gauntlet Hades, then do a delayed follow up, land, and d 5B, D inferno divider...
any combo with a throw in it, isn't a real combo because it is pretty easy to tech a throw in the middle of a combo, don't count that as a combo.
basically what I'm trying to say is, you need to learn to do the first two combos I listed, doing those will develop your skill enough to let you learn the really powerful stuff, and those combos are very good and applicable and very practical bread and butter combos. They arn't flashy or considered very difficult, people bust out stuff that is way more difficult even at an intermediate level.
....basically it takes practice for most of us to do this stuff (I have to grind out combos in training mode for hours before I can do them reliably) So grind those combos and you'll be well on your way to playing better
that and don't throw out Hell's fang randomly :-D