We've run two person relays with OE before with the sequence as above though with four legs rather than six (so runner 1 runs legs 1 and 3; runner 2 runs legs 2 and 4 - four separate courses). It displays individual and cumulative times though I've not seen total times for each runner displayed.
Originally we had to swap SI tags between legs and runners (so four tags used per two person team) with OE 2003 but OE 2010 took out that need and each individual runner can use one stick now though it has to be downloaded then cleared between each leg - don't get that sequence mixed up! Here
is a result display from last year's event.