Manipulating 5 Checkboxes based on what is clicked

I have 5 checkboxes that I use as filters for a set of data (rails app) and I'm having a hard time getting the Javascript down to manipulate the checkboxes for what I need.

Conditions:

• If all is selected, uncheck any 'other' checkboxes but if unchecking this will leave none checked then keep it checked.
• If no checkboxes are checked, set all to checked
• If any 4 'other' checkboxes are checked, uncheck all

Essentially, one of them must be checked at all times, with the all filter being the default, however, all cannot be checked when any of the others are checked and if all is checked, then none of the others can be.

Code so far

jQuery(function($) {
    // all checkbox 
    var all_checkbox = $('#orderStatusAll');
    // 'other' checkboxes
    var open_checkbox = $('#orderStatusOpen');
    var complete_checkbox = $('#orderStatusCompleted');
    var reactivated_checkbox = $('#orderStatusReactivated');
    var canceled_checkbox = $('#orderStatusCanceled');

    var status_filter_form = $('#orderStatusFilters');
    var all_status_filters = status_filter_form.find('input[type=checkbox]');
    var filter_status_all = $('#filterStatusAll').find('input[type=checkbox]');
    var filter_status_other = $('#filterStatusOther').find('input[type=checkbox]');

    all_status_filters.on('change', function() {

       if ($(this).attr('id') === 'orderStatusAll' ) {
           if (all_status_filters.not(':checked')) {
               $(this).attr('checked', true);
               $(this).closest('label.checkbox').addClass('checked');
           } else {
               filter_status_other.each(function() {
                   $(this).attr('checked', false);        
                   $(this).closest('label.checkbox')
                   .removeClass('checked');
               });
           }
           status_filter_form.submit();
       } else if (all_status_filters.not(':checked')) {
           all_checkbox.attr('checked', true);
           all_checkbox.closest('label.checkbox').addClass('checked');
           status_filter_form.submit();
       } else {
           all_checkbox.attr('checked', false);
           all_checkbox.closest('label.checkbox').removeClass('checked');
           status_filter_form.submit();
       }
    });
});

The above follows the logic I need but clearly it doesn't work. I'm not sure how to return true if all checkboxes are unchecked and the else if part above is happening always and subsequently the first part of the if statement under the orderStatusAll is keeping the all checkbox checked always.

Javascript isn't my strong suit so any help and understanding would be greatly appreciated! Thanks!