I think your issue is in this section here:
public function bguru_options_page()
{
// Set class property
$this->options = get_option( 'bguru_logo' );
$this->options = get_option( 'bguru_vimeo' );
$this->options = get_option( 'bguru_slide_one_image' );
$this->options = get_option( 'bguru_slide_one_heading' );
$this->options = get_option( 'bguru_slide_one_text' );
$this->options = get_option( 'bguru_slogan_heading' );
$this->options = get_option( 'bguru_slogan_description' );
What I would do to change it is something like this:
public function bguru_options_page()
{
$bguru_logo = is_array( get_option( 'bguru_logo' ) ) ? get_option( 'bguru_logo' ) : array();
$bguru_vimeo = is_array( get_option( 'bguru_vimeo' ) ) ? get_option( 'bguru_vimeo' ) : array();
$bguru_slide_one_image = is_array( get_option( 'bguru_slide_one_image' ) ) ? get_option( 'bguru_slide_one_image' ) : array();
$bguru_slide_one_heading = is_array( get_option( 'bguru_slide_one_heading' ) ) ? get_option( 'bguru_slide_one_heading' ) : array();
$bguru_slide_one_text = is_array( get_option( 'bguru_slide_one_text' ) ) ? get_option( 'bguru_slide_one_text' ) : array();
$bguru_slogan_heading = is_array( get_option( 'bguru_slogan_heading' ) ) ? get_option( 'bguru_slogan_heading' ) : array();
$bguru_slogan_description = is_array( get_option( 'bguru_slogan_description' ) ) ? get_option( 'bguru_slogan_description' ) : array();
$this->options = array_merge( $bguru_logo, $bguru_vimeo, $bguru_slide_one_image, $bguru_slide_one_heading, $bguru_slide_one_text, $bguru_slogan_heading, $bguru_slogan_description );
The way you are setting your options with $this->options = right now is not adding to it each time since it is not using .= to append it. If you add them all like in my example it will be combined into one big array that is accessible with $this->options
Note: I wrote this code out but did not actually test it. There could be other problems but this is where I believe most of it lies.
Hope this helps.