Game wise nothing is different, but with the GotY edition you receive a few free items.
The Bonus items are seven weapons customized to your characters. These include:
1. Tiger's Roar (Elementalist Focus Item)
2. Poisonous Nevermore Flatbow (Ranger Bow)
3. Sundering Rhino's Charge (Warrior Hammer)
4. Serrated Shield (Warrior Shield)
5. Wolf's Favor (Monk Focus Item)
6. Luminescent Scepter (Mesmer Wand)
7. Insightful Soul Shrieker (Necromancer Staff)
http://guildwars.wikia.com/wiki/Guil...e_Year_Edition
Farming is bassically repeating a particular area over and over again, most of the time because it gives good rewards(items and so), good exp, or is fast.
The shock axe is a pretty good build for both.
http://pvx.wikia.com/wiki/Shock_Axe
You might want to consider changing Shock for something else thought, in pve knock downs are not so much needed except for certain areas.
You dont need to create a pvp char for a pvp server you can use it on all the pvp content.Your pve character once you deem him good enough for pvp, will be able to go to the same places your pvp character is bound to.PVp does not unlock much for pve characters except for skills, if your pvp chacater buys skill with baltazhar faction (basicly pvp gold) your pve character of the same class that the skill was unlocked would be able to buy the skill in pve earlier in the storyline.
The pve character and the pvp character are different characters so no they cant share names or items,you can give your pvp character your pve character's weapon but then your pve character wont have that weapon untill you return it to him.
You can get weapon in pve as drops or buy them and then give them to your pvp character and he will be able to use it, You pve character will also unlock weapon and armor upgrades for your pvp character each time they identify a new upgrade.( identifying is bassacily the act of using a identification kit to find out what the upgrade is)
Phew