I used to have the same problems on my ST1300. Turns out that the bars were too far forward. When I got my bars closer to me, I wasn't so stretched out and the neck and shoulder pain lessened.
On a side note, a lot of my neck pain is due to an underlying issue and lessened when I went to a much lighter helmet. I used to wear an HJC Sy-Max 2 modular, but after I was hit by a semi in 2012 I sustained neck damage that made the Sy-Max unbearably heavy. I switched to an AGV Sportmodular, which is over a full pound lighter, and that helped immensely, too.
As for tightness, I found that neck mobility exercises
like this one are something that I can do while riding, which help a good deal. Additionally, when I'm on roads with little traffic around I'll reach back with one hand, grab a passenger grab rail, and rotate my torso while keeping that arm behind me. Repeat on the other side. Then, I'll hold on to both bars while forcing my torso back (like I'm trying to scooch onto the passenger seat) to stretch my shoulders even further than my normal riding position.
As funny as it may sound, I've taken a few ideas from a YouTube channel called
"Mother Trucker Yoga". I work in the trucking industry, and met Hope and her team at a truck show in Louisville earlier in the year. We talked quite a bit about the pains I experience while riding long distances (one of Hope's instructors is a rider as well), and she showed me some ways to adapt some of her exercises for bike use. The cleverness behind MTY is in using the vehicle and nearby equipment as a way to create stretching and flexibility exercises. You can adapt a lot of her trucking yoga ideas into things you can do while riding. For example, my Gold Wing offers me a lot of real estate to do things like use the passenger seat to help roll out my lower back, use the passenger rails like I described earlier, use highway pegs and gas pump curbs to do calf stretches, etc.
In my experience, soreness is often a sign that the bike ergonomics aren't optimized for your physique, but there's no escaping that fact that stationary position LD riding brings on its own challenges.