I'm so sorry to hear Squeakers is so sick!
It sounds like he's not eating, and this will only make him weaker. Make sure he's drinking, too, and if not, you should make some of this Pedialyte as it contains valuable electrolytes that will keep his strength up. Soak some millet in this solution and offer it to him, you can replace his water with some of this mix, too.
Be sure he is kept warm and I would remove his perches except for maybe one at the bottom of the cage, you can put a towel at the bottom in case he falls. If you have a hot water bottle, you can wrap it up in a towel and place it at the bottom of the cage.
Right now, as the others have said, he really needs to see a vet, so I would try and find one close to you you can take him to, since it's an emergency.
I do hope your little one makes it, please keep us updated!