Ehh, Engineering has it's uses but for instances it's not the best choice. None of the crafting professions enable you to craft gear better than greens and blues dropping from bosses and quests so it's largely a waste of time. Best option is probably herb/alch to get some minor bonuses in the form of elixirs and some heath/mana potions.
Dungeons on their own are rarely a XP advantage but the blue gear and quest xp + rewards enable you to grind faster so in that sense a combination is key. Doing the same instance beyond getting the quest rewards is largely a waste of time. Exceptions apply for short instances or great groups if you enjoy doing it. Playing is not a rush all the time.
Your spec should be the best possible leveling spec as that's 95% of what you will be doing so just go fury and keep the best shield/1h weapon you can.