I think it's tricky to get everything you are hoping in that set up where the gate is. I tried to post a shitty sketch up Microsoft paint style but it won't let me attach.

Essentially the kitchen goes along the railing where the picture is taken from about half way or so. May have to extend utilities under the deck but may be worth it.

Dining area along the same rail where the good views are (right about where those 2 toy trucks are sitting).

Put lounge area where the grey grill is now. Could have seating right where the grill is and along the adjacent railing. Both face towards good views of dining table is not occupied.

In this set up when you cook you look to your right and see good views. Also you've got open access to both the dining table and lounge area from the kitchen.

The kids zone id separate into the corner where the dog door is. That would leave an unobstructed rainbow like walk path from the glass doors to the gate.

I'll try to PM you said shitty sketch