For the bar top . . . we'll cut the bar top at a 45 degree and match the two parts on the corner. With both parts being 18" deep, a 45 degree cut will work perfectly. I'm assuming you'd like a live edge on the outside of the "L". Live edge on both sides of the bar top. As Kevin requested, we'd router out the bottom with 'dog bones' and supply the hardware to connect the two counter top pieces.
For the floating shelves, I think everything is fine. 9 live edge floating shelves - 6 of the 20” and 3 at 38”. You commented before that you're aware that the end of the 38" shelf will butt up against a live edge shelf so the connection won't be seamless.
Based on these drawings and details - we're at $3,700 US
Light - 9" x 72" - walnut with three shades in a copper color. Ceiling to bottom of bulb - 13"
$348 US as part of the whole package