1) Yes, the same principles apply to all formats. However, with video, you can set and adjust exposure by paying attention to zebras and your monitor(s). If you are unclear of how to use zebras, do a search on this forum for your answer.
2)Assuming you have the space for it, I would get the largest softbox that will fit on your 1K. Make sure the speedring (which is what the softbox fits into, and which then slips into the barn-door holder on your light) works for your light. If necessary, phone B&H to make sure.
Rick Wise
director of photography
Oakland, CA
http://www.RickWiseDP.com
email: Rick@RickWiseDP.com