Sounds like you did fantastic on your first go. Stick with the same set up and you will find it gets easier and better as time rolls on. Once you think you have your technique down you can then start experimenting with new razors. The neck is the toughest spot to get perfect. I would just take it easy and go for a damn fine shave (DFS) for now without it being baby butt smooth (BBS) until you get more familiar. This should keep you from getting raw. I have been shaving for 1.5 years now and still don't go after BBS everywhere. Not worth it. Ha. Did you watch some of the shaving videos on you tube? For your soap you can leave the lid off and some of the fragrance will start to lighten up. Some soaps stay strong though so this may not help. Also, a good aftershave or balm will help with the irritation. Go check out the aftershave sub forum for ideas. Happy Thanksgiving.
Thanks for the pointers. Second day of shaving and I'm less raw than the first. Still did 3 passes, but concentrated on using light pressure and just let the blade do the work. No raw feeling or irritation today.