Level does not affect much, gear item level does.
In fact, if you keep the same gear for your quest level and don't attempt to get gear for your current level, your stats will be weaker and mean less, because they get more and more diluted as you level up, although you may still gain new actions and traits with higher potencies. Gear is what really matters though.
So you won't find yourself having an easier time with mobs just because you are a higher level unless you also went and tried to get gear for your new level. If you stick just to the gear your quests give you, you will have a much greater challenge in these fights.