Carry the documentation that Woodcraft send you, it will have the dates and course details proving that you're carrying your kit for a legitimate reason. If there's not enough info then contact them and ask for it, John and Karen will be more than happy to help you out with this.
Pack the kit as you've described, also take the communications that you've had with the BTP (James H Millar - Justice Directorate)
Then don't worry about it at all, even though there are some over zealous police they are mostly very reasonable people, you will have documentation showing that you've a good reason to karry your kit, you will show that you have complied with the legal needs and that you contacted them in the first instance thus showing that you're upfront and honest about it.
I really don't think that you will have any issues at all, just a fabulous experience with Woodcraft
Pack the kit as you've described, also take the communications that you've had with the BTP (James H Millar - Justice Directorate)
Then don't worry about it at all, even though there are some over zealous police they are mostly very reasonable people, you will have documentation showing that you've a good reason to karry your kit, you will show that you have complied with the legal needs and that you contacted them in the first instance thus showing that you're upfront and honest about it.
I really don't think that you will have any issues at all, just a fabulous experience with Woodcraft