When I first saw your plan on page 1, I assumed the alfresco/patio/pergola was going behind the garage ; as I said, our house is a bit bigger than this but has same long area behind garage, sliding doors from family room open into here and that is where we are putting our outdoor area.
If you want/need to make the house a little bit bigger, I would extend the liveing area into the current alfresco and/or extend the study forward, say, to be flush with the garage and just have a smaller porch.
You have much more room at the side to do a larger alfresco and then make the meals or liveing window into a sliding door and make that current sliding door at the back into a window. Also rear garage door will then open onto pergola, handy as it means you can use your garage space for undercover area for BBQ's etc.
BTW, why can't the Tv go on the liveing room wall backing onto the hallway?