So.... your weapon and offhand choose your first 5 abilities, and you pick and choose your next 5, 3 of which are utility?
1-3 Mainhand, 4-5 Offhand.
Two-handed weapons occupy all 5.
Thieves are the exception; they have 1-2 for main hand, 4-5 offhand and 3 uses both hands.
6 is always a healing skill (choose from a handful for each profession)
7-9 are utility skills (your choice)
0 is always an elite skill (a few for each profession and race)
So in pvp most professions have 15 abilities and dodge?
Depends on the profession. Most will have 10 weapon skills (5 skills on two weapon sets), one heal, 3 utility skills and an elite skill.
Elementalists, however, have 20 weapon skills (5 skills x 4 elemental attunements).
Engineers can have up to 20 weapon skills as well (5 from their weapon and 3 kits with 5 skills each). They also have 4 toolbelt abilities that are determined by their heal and utility slot choices.
Warriors have two additional skills, an adrenaline-based attack for each of their weapon sets.
Thieves can steal items, giving them a new item-based attack.
That's more or less it. Other classes have stuff like pets, lichform (which grants 5 new skills to necros), passive virtues and such.