Hi Nicky, my daughter goes to Rosworth Academy based in High Road, Chadwell Heath. They have really good teachers! but I am not sure if they would take year 2 child. My daughter in Year 4 and preparing for 11+ but you can speak to them and find out, here is their website: rosworthacademy.com. I hope this helps you.
Both my twin boys sat the 11 plus exams this year and passed! If you're looking for reliable tutors in the ilford/seven kings area I'd recommend www.rushresources.co.uk, we used them for 2 years and they really helped my boys.