Thank you for the additional information.
I am sorry to hear that this could not have been amicably resolved with dad, particularly as this is in your son's best interest. If he fails to allow this you may find that you have to go to the court for this specific issue to be resolved. You would have to apply for what is called a specific issue order.
Before doing this however, the court requires that you first attempt mediation. During mediation you both would speak with an independent third party to see whether this could be resolved amicably. If either of you qualify for legal aid, you may see whether you are able to get this done free of cost.
Here is a link to where you may be able to find mediators that are local to you.
If after having conducted mediation he still is not willing to allow your son to have access to a wheelchair then you would have to then apply to court for this issue to be resolved. You may do this by completing the below form:
The court will have to assess whether it is in his best interest to have access to this wheel chair. Just having a preliminary look at what you have said, i cannot see no reason for him not to be amenable to your son having access to the wheelchair.
Hope I clarified things for you. Kindly let me know if I may be of further assistance.
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All the best