The site next to the air conditioner
will be too hot in summer and probably have too much air flowing.* Besides, it's not good for the unit to plant
that close to it.
I have some concerns about the side yard not being sunny enough.* I do like the rectangular look of it though.* The sun will be higher in the sky in the summer, so it might get enough sun.* All you can do is try it to see if it works.
The back corner site looks awkward to get to.* If you plant a tomato plant there you aren't going to be able to get behind the plant to harvest.* If you put the tomato plant more forward, once it gets large you won't be able to get to what is planted behind the tomato.* It also looks shady.* Is that grass I see there or moss?* If it's moss the site would probably be too damp and shady.* How about the area to the right of it?* What is that dark green plant material growing there?