How to do clustering with settings when using geoQuery in Yandex Maps?

Question

Yandex maps

The task is as follows:
to display data on a map from a JSON array using clustering, while the icons of both markers and clusters need to be set.
Here's what I came up with:

var json = {
"type":"FeatureCollection",
"features":[{
"type":"Feature",
"id":0,
"geometry":{
"type":"Point",
"coordinates":[55.752314,37.592561]
},
"properties":{
"balloonContentHeader":"тут контент",
"hintContent":"тут контент",
"clusterCaption":"тут контент",
"balloonContentBody":"тут контент"},
"options":{
"area":"тут значение поля для фильтрации"
}}
        	
        	var map_filter = new ymaps.Map('map_filter', {
        		center: [55.75399399999374,37.62209300000001],
        		zoom: 11,
        		controls: ['smallMapDefaultSet']
        	}),
        	objects = ymaps.geoQuery(json)
        	.setOptions({
        	    preset: 'islands#redIcon'
        	})
        	.applyBoundsToMap(map_filter);
        	objects.addToMap(map_filter);
        	
        	map_filter.geoObjects.add(objects.clusterize());
            
            
            function checkState () {
            	var shownObjects,
            	byArea = new ymaps.GeoQueryResult(),
            	val,
            	checkboxes = $('#map_filter_form input');
            	checkboxes.each(function(index){
            		if ($(this).prop('checked')) {
            			val = $(this).val();
            			byArea = objects.search('options.area = "'+val+'"').add(byArea);
            		}  
            	});
            	shownObjects = byArea.addToMap(map_filter);
            	objects.remove(shownObjects).removeFromMap(map_filter);
            }
            
            $('#map_filter_form').change(checkState);

Before filtering:

After filtering:


I need the clusters to be also red and, accordingly, after filtering, clustering should also occur.

Thanks in advance