I could use some advice on skills to get to by the way.
Also, I've played a two-handed warrior before so I know Strength,Dexterity, and Constitution are the stats I should focus on, but any additional things I should know are welcome. And I don't plan on doing any exploits or using any mods, so that means I could use some advice on things to spend my cash on, like should I spend my money on buying all health potions in Lothering, or just keep spamming reloads? Thanks in advance 
2H Warrior might be my favorite class.
As stated above, all your attribute points should just go into Strength. Since swing speed of the 2H weapons is low, you want to maximize both the chance that it will hit the enemy (via improving Attack rating), and also damage per hit. Strength buffs both of these for you. Additionally Strength is what is used to meet the requirements for higher tier armor, which will improve your survivability via damage reduction.
The other attributes are largely unimportant. Magic doesn't do anything for you, and Cunning is not an efficient way to spend points since you don't need much armor penetration with 2H weapons, and there aren't many mental resistance checks. Willpower and Constitution are also relatively bad investments since you gain both stamina and health as you level up anyway. Some will put a few points in them early game, specifically willpower, but I don't find that completely necessary. Dex buffs defense and attack, but you won't be able to get enough defense on 2H to avoid enough attacks without sacrificing a major amount of damage.
Most people play 2H as a talent spam build, where you are eventually using mostly Sunder Arms, Sunder Armor, Two Handed Sweep and Pommel Strike. I like to take Precise Striking early as it improves your attack rating (hit chance) and critical chance, but the two sunders are your other major priority early. Two Handed Sweep doesn't unlock until Level 10, but it is sometimes worth it to save your talent points so you can dump them into that tree right at 10 to get Sweep.
Indomitable is one of the best abilities in the game. Powerful Swings is not nearly as good, even though it buffs damage and has uses in some situations.
Deathblow is extremely important, get it as soon as it is practical (unlocks at Level 12).
As far as the passives go, some of them are bugged in the base game. Destroyer only procs on critical hits, Stunning Blows only has a chance to proc on crits. You will still get them eventually, regardless.
There are some good old threads on 2H, I will try to search for them, but a place to start is here:
http://forum.bioware...or-2h-warriors/
edit: Also forgot to mention... it is effectively cheaper to buy lesser health poultices than it is to craft them, so it is worth buying them whenever you see them for sale.