I can tell you what some of those are, though some are a mystery to me too.
Cubanito is good at the Tate Press, or elbows out tricep extensions. Lay on an incline bench, take a dumbell in each hand, press it up to the top, keep the bells touching, and lower the bells down so that the flat part is on your chest, then press them back to the original position, keeping the bells touching the whole time. At the top, you should look like you just d-bell pressed, and at the bottom, the weights should be resting on your chest, and you elbows are out, and your fists are pointing at one another with your thumb side toward your chest.
hassock squats are just like a box squat except that you sit on a hassock instead of a box. A hassock is kind of a box with padding, so that it gives with you when you set on it.
Anderson good mornings are a good morning done with the bar either suspended from chains draped over the top of the power rack, or rested on the pins. the movement starts and stops at the bottom rather than top position. this is a very good exercise. I would recommend, getting your body in about the same position it would be for a conventional deadlift, then placing the pins or chains in a position where the bar is on your shoulders at that starting spot.
Kneeling squats are just what they sound like. Sit down like a toddler watches TV, on your knees with your feet under your butt. Set the catch bars and j-hooks very low, to accomodate. I have never done these, they look to me like they would murder your knees.
Carpet press, I think is just like a board press, except you use a rolled up towel, or peice of carpet instead of the board. I am sure about the other ones, this one, I am not 100% on, and the other ones you mentioned, I have no idea.
B