Hi
You need to request a carer's assessment as defined by the Carer's Recognition Act and that your DS has an assessment of his needs under s17 of the Children's Act 1989. As he is clearly defined as a child in need as per the every child matters agenda also. Also remind the LA that the Laming Green Paper dictates that LA should listen to parents and work with them.
You do have to be pushy and I would suggest that you get your local MP to also write a letter to them on your behalf explaining the problems at home and the stresses you are having to face due to having no support.
The LA could offer you direct payments as opposed to respite and then you would be able to organise a package of care that suits your families needs.
Also remind them that you have a right to a family life under the Human Rights Act and as they are not providing you with services to support your family this is a clear infringement of your rights.
In relation to timeframes, they have 24 hours to agree to assess or not to assess once the request has been made 7 working days to complete an initial assessment and 35 days to complete a core assessment.
You will have to fight hard for support and they cannot refuse on the grounds of no money (is not legal) and the harder you push the further you will get, but try to remain calm and kinda throw the rules at them. Dont just accept there assessments read them in your own time and then write a written response. Keep everything in writing it really does help.
If you need anything else let me know as I kinda work in this are...