Carpet install help

Yes and yes. The carpet goes under the trim a bit, and also under the hinge, that helps keep them in place. On the side panels, they used contact cement, which you can use the 3M spray on adhesive. Spray it on both the panel and the back of the carpet, wait a few minutes for it to tack up, then press them together. Putting the carpet in the sun for a few before you start working with it will make it easier to work with.