I would like to know what the difference is in arrows. I have looked around a little bit and got kinda confused on the difference in them. I would like to know what kind of arrows would fit my bow.
A little more info would help , like will you be shooting with fingers or a mechanical release? What type of arrow rest does your bow have?
I can reccomend an arrow that should get you in the ballpark anyway.
For your setup I (personally) would use an aluminum arrow. Some might choose a carbon to boost the speed but I think you'll probably gain some kinetic energy by sticking with aluminums. If nothing else it might be a wash either way , but being a beginner , aluminums are easier on the pocket book and are straighter than carbons.
I would like to know the difference in preformance between alunnium and carbon.
If you can keep your arrows in your target and out of the trees or walls and shoot different spots instead of slamming six arrows in one spot then there isn't a difference in performance other than speed. A carbon arrow is lighter than aluminum which makes it faster. A carbon is also more durable than aluminum , meaning they hold up better when slapping six arrows in a one inch spot or glancing one off of your target and into your dads garage.

Aluminum arrows will bend , carbons dont.
I reccomend all beginning archers start with aluminum arrows and a slow to moderate speed setup. It makes it much easier to learn and isn't as intimidating as a high speed setup shooting carbon arrows.
For your setup (not sure about your cam style) a 2213 aluminum should be right in the ballpark.
I would also appreaciate any advice on a stablizer. Thanks ahead of time.
You may not even need a stabilizer. My suggestion would be to stand close to your target (hopefully a big enough target to allow for error) and shoot a few shots into the target to see what the shot feels like. Check for vibrations in your bow hand during the shot. Also check to see what your bow is doing after the shot , is it kicking back (top of bow towards you) , is it kicking forward , etc. When your testing your bow for stabilization thats when you should stand close enough to the target so the only thing you have to concentrate on is what the bow is doing after the shot. Some opinions very , but my ideal setup (right handed shooter) is for my bow to drop down and slightly to the left after the shot.
If you feel you need a stabilizer there are so many to choose from I couldn't even begin to reccomend one. The majority of them in your large chain sporting shops are pretty close in weight and you dont need to spend a fortune on one.
Hope this helps.