I had problems with all monsters at the beginning of the game

You won't believe how excited I was when I killed my first Giant (actually two of them that attacked me at hte same time) after dying from them because of my low level - but then I got a companion and got to level 12 and it's all good now

)
I can now kill Spriggans really quickly and I'm level 12, so yea maybe it's the level. Most of the time what I do is get a sneak attack with a bow and then finish them off with my duel Dwemer swords (one causes Fear and the other 10 pts Cold damage, which I found quite useful).
If you have lots of stamina use the duel swords special attack (you press both M1 and M2 or whatever) and that it also really good.
The Spriggan regenerates only once for me, maybe she does more for you because it takes you too long to kill it - so yea in conclusion just try level up more and get perks that bring your Bow/Sword damage up - they are the the first perks in the skill tree so it won't be a problem

So most importantly:
Level Up
and
Get a 'follower'/companion'