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1. how can we re-rder categories - right now it looks like it's only alphabetical but we would like a specific order
2. for groups -- is it possible to default to "most active" or "alphabetical" vs . "latests"
3. similar to question 1 -- can we assign an order to groups within categories in addition to "most active, alphabetical///
1. You should modification the array for this, this is bit tricky please you open this file components/com_community/helpers/category.php and modify this function getParentCount()
2. Please open this file components/com_community/views/groups/view.html.php, find this code "$sorted = $jinput->get->get('sort', 'latest', 'STRING');" and change the "latest" to "alphabetical" or "mostactive"
3. I dont understand with this, but I think the solution simliar with #1 and #2