Video will work with the HDMI adaptor pretty much out of the box, assuming there is something on the PIC for EDID, and even if there isnt.
LVDS connection might need a touch more work. Im not experienced there so I wont comment.
Touchscreen? Its going to depend on if whatever is driving the touchscreen has applicable kernel modules available. I would rate your chances as high, but not definate.
I would wait for someone with a bit more experience with LVDS/Touchscreens to comment though. Im just passing my 2c