Thank you for the explanation. My entry floor was not level and with some sagging. The old tile floor was cracking and many tiles had to be replaced. I decided to replace the entire floor. They pulled out the old tile and nailed this metal mesh over the wood. I honestly thing they made more problems by trying to level the floor with the mesh. The new tiles are 12" and the floor does not look level now. I can see a dip and was very upset today and told the worker to pull up that part of the floor. Now it is a mess because the cement was hard in places and the mesh got pulled up when he was trying to remove the tiles. The floor is uneven by 1/2 inch even with a thick layer of cement. None of the doors will open and will have to be shaved. My house is full of cement dust and I don't want to let these installers back. I don't know what to do. 3/4 of the floor is tiled, the rest they attempted to pull up today. Jane

You could try putting in a deep root barrier of a couple feet deep the width of the deck, though I am not certain it would work. Trumpet vines are quite vigorous in sending out suckers. You could replace it with another native, trumpet honeysuckle, Lonicera sempervirens, which doesn't sucker.

The wood on this deck is weathered and need protection. The wood itself has a reddish hue. I am not sure what semitransparent wood stain shade to use, while keeping the look classy. Is there an app I can use to do different mock-ups of colors?

That floor looks very similar to mine. (Currently being laid). Mine is porcelain Edgewood in Stone non-rectified tile. We have tile throughout and carpet in bedrooms and closets. We have white wood baseboards painted to match the walls, a SW white.