Verified answer

Same difference as it is in regular football.....

A cutback involves zone blocking, where the OL puts a man on a man. The play is designed to go one way, but the RB has the freedom to "cut back" the other way, if there's an opening.

An example of a misdirection play is a countertrap. The play looks like it's going to go right... that's where the RB (and FB, if in the formation) start. The RT and RG, however, pull to the left side. That means, they run down the line of scrimmage towards the LT. Usually, depending on the coaches preference, the pulling guard blocks the unblocked D-lineman (who's being "trapped") while the pulling tackle runs up the hole and blocks the first defenseman seen. While this is all going on, the FB continues to block on the right side, sealing it off, while the RB cuts back the other way, gets the ball from the QB and follows the pulling tackle into the hole.

"Count", I believe, is short for "counter". It's basically what I described just above. You have traps, where only the backside guard pulls, and you have countertraps where both the backside guard and tackle pulls. Some even have the backside TE pull! You can run these out of pretty much any formation, as well.

They're all pretty much the same thing. except misdirection's and cutbacks go inside while a counter goes outside.