The first chicken looks simply like it has a cyst. Does it feel hard? I had a rooster with a hard similar-looking cyst that did not get bigger, and except for partial vision impairment from the cyst, he got along fine.
The second hen pictured definitely looks like a sinus infection, maybe mycoplasma or coryza. Is there an odor? Is there any sneezing or breathing problems? The pus inside the eye needs to be removed for the Terramycin eye ointment to work. I would flush it with saline and use QTips or tweezers, or try to pop it out. Tylan 50 injectable used orally or as an injection can help treat symptoms, but MG and coryza are carrier diseases. Here is a thread by someone who had the same problem:
https://www.backyardchickens.com/th...welling-cure-treatment.1156995/#post-18155569