The camera for shooting elements is the standard 3rd person one but the game also mixes in multiple views for when scaling the environment. The game is more inspired by Indiana Jones rather than Tomb Raider although Rise of the Tomb Raider was ironically more based on Uncharted 2!
The stories are a bit repetitive and predictable in places but the script is pretty fanatastic as are the cut scenes.
You could probably move on to 4 without finishing the third game as it's a brand new story albeit with returning characters.