The "prickly hairs" thing is a common issue for us men. We all seem to have that trouble spot below the jaw line, around the curve of the neck. It's my tricky spot, and some days are just better than others. For me, I find that blade buffing those spots helps, but I only do that once every few days.
Give your face and neck a few days off. Keep the pressure down when you come back. You're going to apply some pressure no matter what you do, because it's just a thing we naturally do when performing a manual task with our hands. The trick is to keep it to a minimum...let the weight of the razor do most of the work.
Change your blades frequently. I rarely use a blade more than three times, because they're cheap enough to replace, especially the brands I buy (Treet Platinum, Astra Platinum, Big Ben). But them a hundred at a time and don't be afraid to chuck one when he feels rough or pulls.
And try going back to the soap that gave you the best results. Tabac is my favorite soap, and it's the one I come to when I want stuff to just work. Use the one that works best for you.
"Hot dog, groat cakes again! Heavy on the 30-weight, Mom!"