LittleMiss - this sounds quite serious, and may be worth getting advice on the SN boards.
To get full time 1:1 she needs a statement. To get a statement she needs to not make progress, and be unable to access the curriculum.
She sounds awfully close to fitting those criteria, so you need to become more informed.
A parent can apply for a statement if school doesn't. So you need to start to find out a lot more details, and work out at what point you'll apply for a statement amongst other things.
As to getting her asessed, who do you want her assessed by, and what for?
Do you want her seen by a paed? Or an Ed Psych? And what do you want them to look for?
Anything medical (like a paed) you organise yourself, through your GP.
Don't think just because school have raised all these concerns, that they are able to help you. With the best will in the world there's an awful lot that school can't do, but you can.....