The Reed & Prince (also goes by Frearson) is a second take on the same idea as JIS. The Frearson is slightly deeper and the angle on the tip of the driver is steeper. From what I can tell, the Frearson is an older design than the JIS, but I am not 100% sure since I was unable to find patent information on both (JIS isn't really in the US patent system and I haven't found a source for when the JIS screwdriver standard was introduced.)
I love my pair of Vessel Impacta screwdrivers. However, they are a blend of JIS and Phillips--a compromise that is marketed to work well in both. You and I both know that a tool designed to do it all, rarely does it all well. I grab them for things I know aren't truly stuck in place, but tend to lean on my true JIS bits for the heavy lifting.
that one's easy, they are all marked! All the replaceable screwdriver bits I have ever purchased are stamped from the factory, and most all of my screwdrivers are labeled on the shaft. Also, if it's cross point and not labeled, it quite safe to assume it is a Phillips since that is the most popular.