Hi,
can't the Abrsm on their homepage / forum be asked directly, to send copies of specified years' issues to you?
I haven't found directly the 2002 versions WITH a note saying "containing the solutions, too", nor separate issues which are said to contain the solutions, but they ( the solutions ) may exist.
What to 100% exist, are, for example, later issues of them, specified as
"Music Theory Past Papers 2 2006 Answers" ( check requests with the title-words on Amazon.com or amazon.de )
( where the "2" means the "grade" ), (on the title page there is added not "answers" but "model answers"! )
Generally, be VERY careful here, to make sure that "answers" or sth. like that appears in the titles!
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or, for example, later ones, like:
"Music Theory Past Papers 2014 Model Answers, ABRSM Grade 8 (Theory of Music Exam Papers & Answers (ABRSM))Jan 8, 2015
by ABRSM"
which is also on amazon, seems to have changed the appearance-form in comparison to the 2006- version, and the answers seem to be INCLUDED now in ONE issue.
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Please note that - at least - the older variants are additionally split up into GRADES !!
So they make money, and make recherches "difficult"... .

My recommendation would be ( unless, of course, someone from the forum here directly HAS the old 2002 answers, ( issues appearing, as I could take from the entries, mostly in the following year ), that you perhaps ask the ABRSM-people directly.
Cordially, 8_octaves!