3D camera movement

Questions
#1

Im trying to code a camera that moves and looks around. Problem is i cant find a way of moving the camera object alongside the vector it is facing, like in fps games or minecraft. I know of the Operator project, but that isnt what i want, i want to be able to move the camera with the keyboard freely. This is the code that im using to look around with the camera. Note that the camera is attached to a game object (called ‘rotator’) and this script is attached to that game object. So it is easier to rotate a separate GO. What this code does is just wiggle the camera whenever i press W (forward) or S (backward)

local first_mouse = true
local prevx, prevy
local proj = vmath.vector3(1, 0, 0)
local direction = 0

go.property('speed', 10)

function init(self)
  mouse.lock_mouse()
  msg.post('.', 'acquire_input_focus')
end

function on_input(self, action_id, action)
  local function mouse()
    if first_mouse then
      prevx = action.x;
      prevy = action.y;
      first_mouse = false;
    end

    local xoffset = prevx - action.x
    local yoffset = action.y - prevy

    local sensitivity = 0.1
    xoffset = xoffset * sensitivity
    yoffset = yoffset * sensitivity


    go.set('.', 'euler.y', xoffset)
    go.set('.', 'euler.x', yoffset)
  end

  local function movement()
    if action_id == hash('forward') then  
      direction = 1

    elseif action_id == hash('backward') then
      direction = -1

    end  
  end

  mouse()
  movement()
end

function update(self, dt)
  if direction ~= 0 then
    local rot = go.get_rotation()
    proj = vmath.rotate(rot, proj)
  
    local pos = go.get_position()
    pos = pos + (proj * self.speed * dt * direction)
    go.set_position(pos)
  end

  direction = 0
end
#2

Hi, this small example I use for wasd fps movement might help you:

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