Mitasol has helpfully pointed out in the Medway section that Medway reviews are narrowly based.
If your child underperformed on the day but otherwise has a brilliant portfolio of work at school and has school support - then a review may be a good option.
If you want to supply other non-academic evidence, extenuating circumstances, then an appeal (without review) may be a better option.
This looks to me to be very sound advice.
Your childâ€™s primary school will be asked to provide work in maths, science and English and this will be reviewed by a panel. Supplementary material supplied by parents or other agencies will not be admissible. [Medway secondary schools guide]
I repeat the warning given in the Appeals sticky about LA reviews:
Important! Where a local review has taken place, your rights could be seriously curtailed because the Code now says that, provided the review was fair, consistent and objective, no other issues can be considered at appeal.