Looks secure! Everybody's method is a little different but crossing straps usually locks a vehicle in. The car should handle it being in gear, just like anywhere else when you park.
If your car is moving around on the trailer, its not fastened down properly.
I lash down with wheel nets - plenty of room in the front but rather tight on the rear. In fact I only lash one wheel in the rear as there is slightly more room on one side.