Weight system kicks ass.
I'm carrying a shotty (a Katana that I upgraded to level V immediately on the ship, and also stuck a couple mods on), and a pistol that I modded to reduce weight by 50%. After putting 3 points into Assault Mastery to get the +20 boost to weight limit, I currently have a +162% bonus to my recharge time at just level 6. And I still get to carry around the ol' pistol and shotgun (the max is +200% recharge time).
As it stands, Pull recharges every 1.5 seconds and I haven't even given it a recharge upgrade yet; seems very feasible to get that under 1 second eventually, unless 1 is the minimum limit. Charge recharges every 3.49 seconds at rank 2. Shockwave is also at rank 2 and recharges every 2.79 secs. Vanguard is gonna be fun
Dunno how long it keeps up but I've noticed even on Insanity, most of the earlier enemies just have the ol' red health bar, making them ripe for some Vanguard biotic whooping. I assume that's because they wanted you to abuse Liara's Singularity as part of the tutorial. In ME2 on Insanity, even the early enemies had layers of shields on them.