It should depend on the situation in September, but school should definitely reopen before most other public spaces. The fact that some states have jeopardised full reopening by opening bars and restaurants first is scandalous. Education is more fundamental of a right than dining out.
That would be true if reopening a restaurant was remotely similar to reopening a school, and if kids were not getting educated at all. Classes will be held, just in a different mode.
I am for things opening up, even if cases inevitably increase, as long as it is balanced with healthcare capacity. But schools or any other environment full of children should be among the last places to open back up.