That very strong white eye-stripe limits your choices, though your camera may be exaggerating the contrast a bit.
Your two most likely wrens would be House (very weak eye-stripe) and Carolina (very strong eye-stripe). In Michigan you should also consider Marsh (also pretty strong eye-stripe), especially if your fence is alongside a... you guessed it, marsh.
Carolina wren usually has an overall chestnut, almost reddish tone. Your photos look a little darker, especially in the cap, which causes me some uncertainty - I'm tempted to say it's Marsh based on that. But again, I'm pretty sure your camera is boosting the contrast, so I don't have much confidence in that color.
edit: where in Michigan? I looked a little more closely at the map, and Carolina is somewhat uncommon in most of the state. That tilts me heavily toward Marsh, unless you live near the "wrist" of Michigan.