As far as thieves' tools and RAW are concerned, I want to point out a couple of things which, I believe, have not been mentioned yet.
PROFICIENCIES
Armor: Light armor, medium armor, shields Weapons: Simple weapons
Tools: Thieves' tools, tinker's tools, one type of artisan's tools of your choice
Saving Throws: Constitution, Intelligence
Skills: Choose two from Arcana, History, Investigation, Medicine, Nature, Perception, Sleight of Hand
This is clearly RAW, but admittedly this class is not in the Players' Handbook (PHB), so let me bring up information from the PHB. There is a paragraph called "Customizing a background" on p125, which states that player groups are free to create any Background they want, giving their custom Background a total of two tool proficiencies or languages. But that sounds like it may be considered homebrew territory for some purists. The following is not.
Skill Proficiencies: Deception, Stealth
Tool Proficiencies: One type of gaming set, thieves' tools
Equipment: A crowbar, a set of dark common clothes including a hood, and a pouch containing 15 gp
Skill Proficiencies: Sleight of Hand, Stealth
Tool Proficiencies: Disguise kit, thieves' tools
Equipment: A small knife, a map of the city you grew up in, a pet mouse, a token to remember your parents by, a set of common clothes, and a pouch containing 10 gp
So, according to the rules, being good (in particular, proficient) at picking locks and disarming traps is not exclusive the the Rogues class.