It sounds like positive communication has begun between you, and that is important and helpful to both of you. I nest with a similar type, and nothing I do ever measures up. I have learned to accept this and we actually joke about it, and he has learned that most things don't have to be beyond perfect - missing a line when helping him cut the lawn, for example, probably won't result in the world coming to an end, and the fact I volunteer to do the sections he hates doing the most has reinforced the advantage to chilling out on issues of that nature.
As far as your run, many have offered suggestions which will be helpful, so moving, bracing, evening up/leveling and painting will all probably result in the outcome you seek. I personally think for a first build which you did on your own, it looks fine, and clearly has served its purpose. Once you are pretty sure it is permanently re-situated, a few inexpensive plastic pots filled with mums, lantana, or something else you like, can acquire fairly inexpensively, and doesn't need lots of special care, could dress up its appearance a bit and distract from any imperfections still visible. Heck, you can even put some potted tomato plants around it and serve the harvest to your flock. Another interesting technique I've seen is to plant large, rectangular trays or boxes with grass or low-growing thyme or mosses. If there is a plant your DH particularly likes, go with that.
In the end, you are accomplishing something, producing food for your family, a (hopefully) new source of income, learning more new things than you ever thought possible, getting exercise, spending time outdoors - there's a lot to be said for all that!