The research & library creation is illegal. That's a bit much:

'Research resulting in the creation of a library of documents providing information of a kind likely to be useful to a person committing or preparing an act of terrorism — specifically information regarding the manufacture of explosive substances, the construction of explosive devices, and tactics used by terrorist organisations.'

You missed a critical bit: "...with the intention of assisting another to commit acts of terrorism..."

My quote was the entirety of Count 1. I believe a count is a distinct offence[0].

[0]http://legal-dictionary.thefreedictionary.com/count

> My quote was the entirety of Count 1.

No, it's not. It's the entirety of the first numbered point (of six) on page 1; all six of the numbered points there, as well as the paragraph leading into the numbered list and all but the last two paragraphs of page 2 address Count 1. Count 2 is addressed in the penultimate paragraph of page 2, and Count 3 is addressed in the final paragraph of page 2, which carries over onto page 3. The remainder of the document is not recounting the offenses but discussing other sentencing factors.

There are only 3 counts (as stated at the very beginning of the document), so even if the beginning of the discussion of each count weren't explicitly marked in a parenthetical, it would be easy to see that the numbers of the six-item numbered list could not be count numbers.

All the numbered paragraphs are subject to the rider "As the Particulars of that offence make clear, with the intention of assisting another to commit acts of terrorism, you engaged in conduct in preparation for giving effect to that intention namely:"

The relevant legislation is here: http://www.legislation.gov.uk/ukpga/2006/11/section/5

I don't know enough about the subject to defend my position.

Guess I'll just concede: assigning a reasonable probability of you being correct.