I would also suggest you move the saddle forward on its rails. There are two sharp looking bones in your butt, they are supposed to rest on the wings of the saddle, not the the area you describe. Your saddle might not be wide enough to accomodate this. If it isn't look for a wider saddle -- I like Brooks B-17 and the Brooks Conquest, which is a sprung saddle with the same general width as the B-17.
I would also caution about going to wild on the padding in either shorts or saddle covers etc., as all that padding does is wad up and put more pressure on the bundle of nerves and soft tissue that runs between those two butt bones and your plumbing. I do use shorts for longer rides, but the padding is pretty modest.
Get the right sized metric allen wrench and ride with it. A certain amount of discomfort comes with those first rides, but I found stopping and making an adjustment while you are out riding is the best way to find the proper tilt, height, position, etc., opposed to making a change, taking a five minute spin and thinking you got it right only to find out on the next longer ride you got it wrong.