You can start directly with HM if you want. By this you have access to more stat points and skill points per lvl and more skills.
I am not sure what your purpose is. A 1H fighter is not an efficient build. It would be better if you considered to pick a defender/guardian and making it a battle toon. Just get 2 DEX per lvl and rest in STR. That's all what you need.
7 ( or if you want to play NM, 5 ) stats per lvl is not enough to start with a 3 stat build. that kind of build is only effective if you are able to get a large amount on it, so please go for this kind of build if you can access to 1200+ stats. But that's for the future, please keep a 2 stat build until then.
If you want to play a 1H fighter instead of a 1H battleguard, it would reduce the numbers of essential skills like the AoE skills. That's why i suggested to check for a battleguard/defender model. Their skills are more 1H oriented and they have plenty skills to support their survivability as a shield user, something which a fighter doesn't have.