Madprest - your child is very behind, and you need to make the hugest fuss ever. You are totally being fobbed off, and your child is being failed.
A level 1 is the expected level for a Y1 child, and a level 2 is the expected level for a Y2 child.
By the start of Y5 your child needs to be working at at least a level 3. (Minimum - not average)
Going to SA+ doesn't mean she gets any extra help, that's not how it works. What it means is she is under an external agencey, eg the EP. So if she is seen by the EP then she is on SA+, otherwise she is not. But she won't necessarily get any extra help if she's seen by an EP.
Can you move school?
I'm not sure that a private EP report will help you. Some do, some don't. Because a bad school won't follow any recommendations an EP makes (and not all EP reports even make recommendations), and a good school doesn't need to follow the EP recommendations, because they're already doing them.
If your child isn't reading and writing appropriately, despite adequate teaching, then they have dyslexia. That is the diagnostic criteria. So you don't need to pay hundreds of pounds to hear that.
What difficulties does your child have? Reading? Writing? Spelling? Handwriting? Memory? Concentration? Attention? Sitting still? Riding a bike? Swimming? ??????