OMG, that poor baby

. And poor you, bc I know your heart is breaking seeing him like this.
My Wylie had ongoing skin issues...went on and on. His vet at the time was pretty much useless. Finally, feeling desperate, I decided to take him to Vet Dermatologist -- and that was just a miracle. Vet Derms can deal w/ complicated skin issues as experts, whereas generalist vets really can't...it's just not their expertise. When skin issues are ongoing, that's a good time to seek out a Vet Derm. Do you have these where you are?
I'm not sure what you mean by "parasite injection" - what do you mean? Also, was a skin scraping done and a culture done (culture would take about 10 days to grow)? What were the results? Did the bacteria scraping/slide show 'staph intermedius' or 'pyoderma'...does that ring a bell?
Also, when skin issues are ongoing - thyroid should be considered/checked. Also at this point, I'd want a skin biopsy done; sometimes, mites will burrow into the skin - and so the dog will test negative for mites - however, when a biopsy is done, the mites will be seen.
This is the Vet Derm I see - and the link I'm posting goes over some case studies and has pictures...maybe read some of these to see if something reminds you of what your kiddo is going through:
Frequently Asked Questions | Dermatology for Animals
Please keep us posted, and keep posting about this - bc you never know when a member will come up with a piece of the puzzle for you, I've seen that happen so many times.