Do paid plans earn VP faster?

Yes. Lite earns 1.5 times the VP and Pro twice as much, plus a monthly bonus: 1,000 VP on Lite and 3,000 on Pro. The levels and what they unlock are the same for everyone.

The plan boost adds on top of the small boost from your own level and any VP bonus you have running. Invite rewards are always 5,000 VP and aren't multiplied.