Yes, the SDK supports multiple layers on a map. Are your service URL's public? If so, can you share them? Below is an example of layers from ArcGIS Online:ArcGISTiledMapServiceLayer streetLayer = new ArcGISTiledMapServiceLayer(
"http://services.arcgisonline.com/ArcGIS/rest/services/World_Street_Map/MapServer");
ArcGISDynamicMapServiceLayer popLayer = new ArcGISDynamicMapServiceLayer(
"http://sampleserver1.arcgisonline.com/ArcGIS/rest/services/Demographics/ESRI_Population_World/MapServer");
Just add them to your map mMapView.addLayer(streetLayer);
mMapView.addLayer(popLayer);
Here is a screenshot of the 2 layers[ATTACH=CONFIG]20047[/ATTACH]