Congrats, and Ya done Good.

It might help you drag the deer if you bring both front feet up and hook them in the rack. Yes just pull the front legs forward and they will go right inside the horns. Now that you have the legs in the horns loop the rope around the legs and neck and the drag will be easier. A D type handle on the rope will let you pull it easier also.

A inexpensive 6'x8' blue plastic tarp will help keep the back of the car Fresher, rancid blood stains might be objectionable to some.

You done Good! never lose the excitement!