No issues here on Belsavis. The later planets do get more challenging/throw harder mobs at you; make sure your gear is within 1-2 levels of your class, is all orange w/ blue mods/blue or epic, and that your companion is geared as best they can be.
As for the OP: the game gets a bit harder from 30 onwards, which is where a lot of classes (not just Vanguards) complain if they're not geared up/playing at the top of their game. You need to make sure you're interrupting strongs/elites, bunching mobs up for AoE (Harpoon ranged mobs and let the melee ones run to you) and kiting when needed.