Hi Rachella,
I really wish i could help you but unfortunately i can't do much across the world over a computer.
The more i look at the photos, the more i suspect a neurological disorder, in fact, im also suspecting a spinal injury. Spinal injuries can lead to dysfunction of motor nerves supplying the forelimbs, hence the permanent unusual position of the forelimbs as well as the curled posture. A loss of nerve function can also result in your axie being unable to feed, position itself upright etc.
I want to be frank and honest with you. Without a vet to properly perform a diagnostic work up and treatment, the chances of your axie spontaneously recovering is very slim. There really is nothing much else you can do. The most you can do is supportive therapy via fridging, fluid and supplementary nutrient therapy. The other option is euthanasia.
Vets often use a special amphibian ringer solution or saline solution composed of some electrolytes (and even vitamins/glucose) to hydrate dehydrated and emaciated amphibians. We can administer an isotonic solution (or hypertonic then isotonic) solution to the salamander. Calcium gluconate can be used in emergencies to correct hypoglycaemia and hypocalcaemia. That has definitely been performed in vet practice.
However the skin has selective permeability to electrolytes and micronutrients so you cannot guarantee the axie will absorb whatever you place it in, in the right amount you want. Transdermal route of fluid therapy is not unheard of but i would go with an intracoelomic or subcutaneous injection instead. These routes ensure that the fluids/electrolytes/glucose/vitamins administered is in the right volume and concentration, and delivered to the animal. However for your case, if you are able to get calcium gluconate and amphibian ringers solution, i would guide you through placing the axie in a bath. This minimises the risk to you and to the axie.
Would you be able to get some calcium gluconate and amphibian ringers solution? Try pharmacies and vet clinics. They are not too costly. 1 fluid bag is more than enough. Please get back to me (email or leave a message to me is fine as well. I tend to read them before i read the forums).
Cheers.