I just donated plasma and platelets today for the first time! They used the same machine and I only had to be stuck in one arm! It took a long time because I have small veins, but we were able to make it work.
Important to note that if you do an Apheresis Power Red/Double Red donation, you have to wait 16 weeks before donating again. Also, not all blood types are suitable for a Plasma/Platelet donation. If you already know your blood type, you can save yourself the trouble prior to signing up for a donation. If you are O- or B-, you will most likely be discouraged from donating platelets and plasma, but depending on the donation center, be asked instead to do whole blood or power/double red if they have the set-up for it.