You've definitely gotten some good advice here, but I also wanted to reiterate that the quantities you're pumping for an 8-day old are huge! Your baby may only be taking 2-3 oz TOTAL per feeding at this point, if not less. By about 2 months, your baby'll be up to about 3-4 oz per feeding and then by 6 months, up to about 6 oz, if that. My milk with both of my kids didn't come in until around day 5 (which is right on for "normal") and I was feeding them every 1.5-2 hours. So, if you're able to go 2-3 hours, good for you!
As for waking the baby during feedings, it's not only hard work to have a baby, but it's hard work being born, too! For the first couple weeks, you're going to have one incredibly sleepy baby and then for months afterwards, your baby will only be awake for maybe an hour at a time (and that includes eating!). My firstborn would always drop into a deep sleep during nursing time--hey, it's relaxing! :) At the recommendation of a lactation consultant, we would strip him down to his diaper, sometimes wipe a lightly wet, cold washcloth on his head and neck and then if all else failed, she told us to stick our finger into the bottom of his foot. I typically got anywhere from 5-15 of nursing from him and then he'd be out cold for another 1.5-2 hours! I'd pump whichever side he didn't feed on just to keep up my milk supply for whenever he would be better about staying awake and hungry enough to be able to nurse on both sides. It's all totally normal. My second child almost never nursed on both sides until she was probably 6 months old. I wasn't going to push it because it just wasn't worth the fight. She gained weight just fine, which means she was getting what she needed--even though I could barely pump more than a couple ounces when I did need to pump.
As long as the baby is still gaining weight, you're fine no matter what you are or are not pumping or however long the baby is eating. Another thing to remember is that a pump is NOT as efficient as a baby.
And last, but certainly not least, a nipple guard is not the end of the world to use. I never did (but probably should have), but my sister did for probably the first 1-2 months before being able to wean her daughter to nurse without the guard. My sister was just too big for her daughter's mouth and the guard helped her continue to nurse until the baby's mouth grew and developed a bit.
In the end, if you want reassurance from a professional, contact your hospital's maternity ward to get a lactation consultant. They will definitely help to explain your concerns and give you comfort that you're all doing just fine.
And congrats on the new baby!!