If your paneling is 3/4 of an inch thick and it has been adequately fastened to the wall attaching it right to the paneling shouldn't be an issue. Since you have the space behind the paneling I'd use a wall anchor or toggle bolt instead of directly screwing into the paneling.
As far as finding the studs the strips of wood behind the paneling are furring strips but usually 3/4" and should be 16" on center if they were installed vertically and will most likely line up with the studs.
Another way to find them is the paneling 4X8? You can measure 16" over from the seam and that might be a stud especially if the furring strips are vertical. Your tape measure will have each 16" increment marked.
Yet another way is to find the closest electrical outlet or switch in the middle of the wall, take off the plate and look on either side of it. If there is enough gap you should be able to see the stud it's attached too. From there you measure to find the rest of them.