if a flying character were to running shot into soaring to hot somone on a roof, or another soaring character, while carrying a figure, would he drop the guy in air the and would he fall and take dmg? same for charge? hss? just wondering in case this ever came up

At the end of movement, a carried figure MUST be placed back on the battlefield. So it would be impossible to Charge, end movement or RS into Soaring while carrying a figure. Note that since the option 1 attack for HSS occurs during movement, so carrying into Soaring is okay as long as you wind up legally placing the carried figure after movement.

Here's a question to follow up:

Black Adam uses HSS and carries a figure into Soaring to attack a Soaring Wildcard. The Wildcard declares Mystics, BA attacks and LOSES HSS from the retaliation. Since BA's movement would immediately end, what happens to the carried figure?

2 damage for falling? 1 damage for "becoming Earthbound" while soaring?

Soaring figures can not shoot at grounded or elevated figures, only other soaring figures. Meaning you can not Running Shot into soaring to shoot someone on a rooftop (elevated terrain).

From the Heroclix General FAQ, page 9:
"When using option 1 of Hypersonic Speed, a character must be in a square where it can legally end its movement in order to attack another character".

So, if your HSSer is carrying another figure, they are not allowed to make attacks at soaring level, since they cannot legally end their movement at soaring level.

It would also apply if there is no free adacent space to set down the carried figure.

Hey thanks!