Welcome to Appeals!
A few comments on your proposed review, but I'm afraid they may not help you very much.
1) HT reccommendation 2:1
Section 2 of the summary sheet invites out of county (non partner) headteachers to enter recommendations such as the 2:1 given in this case.
However, these recommendations may not carry as much weight as recommendations from Bucks and partner schools (section 1) which had to be submitted before
the results of the 11+ were known.
Level 3s at KS1 is encouraging.
With regard to KS2 predictions, the vagueness of the new system is likely to be a problem for everyone!
Review panels will probably look to see what the rate of progression has been from Y2 to Y5.
They will also be interested in the strength of support as expressed in section 6 (see below).
She did not write any letter or additional comment. Will it make the case less advantageous?
If by "no additional comment" you mean she left section 6 (Headteacher’s additional information) blank, then yes, I'm afraid you will be disadvantaged. The wording in section 6 is important. The headteachers manual says: "Be aware that your choice of language on the form is important as it will indicate the degree of support you are expressing
should I still mention above for the extenuating circumstances?
Your extenuating circumstances don't look very strong.
"Pressure and tension
" won't count for anything, as everyone could claim that when there's no supporting evidence.
There's no evidence of the distraction during the test.
Was your daughter's school work affected during the time of your ill health? Can the school confirm this?
Uncorroborated circumstances won't be accepted, not least because this is a desk exercise and the review panel will have no opportunity to question you.
The problem you have is that they do say "exceptional circumstances" are expected for a review.
It might have changed this year, but last year we were told by the HT that he/she couldn't change any of the comments on the HT report (and I think that was corroborated on this site), but they were able to give you new information/reports if you requested them (if they were feeling supportive and/or helpful!)
That is true for appeals - but the time scale for reviews is very different. Review forms are due in early in November - and reviews begin in November!