I don't think teams are happening. It would probably over-complicate things, and it's not really within the scope of the Beginner's Cup to introduce people to team racing.
I see your point about splitting the grid into 2 races, in that you may lose control over your position in the championship (e.g. drivers A and B, last race, A is one point ahead, A qualifies P1 and B in P2, they get put into seperate races, B can do nothing about A winning his race and therefore the cup because he isn't given the opportunity to beat A on track. With 37 registered applicants, I'd say it was unlikely more than 32 will ever turn up in one go, but if they do, what else can we do?