Keeper my first thoughts are probably got pnuemonia or bronchitis or something like that, strange about a slimy beak, I would post it over on the thread i will post  as it's for sick chicks and people that know more about it will be able to help you better.
 
https://www.backyardchickens.com/f/10/emergencies-diseases-injuries-and-cures
	
		
			
		
		
	
				
			https://www.backyardchickens.com/f/10/emergencies-diseases-injuries-and-cures
 
	 
 
		 
			
		
		
		
	
	
			
		 
 
		 
 
		 
 
		 
	 
 
		 (It is too bad 4 of the 6 are cockerels.)
 (It is too bad 4 of the 6 are cockerels.) 
 
		 
 
		 
 
		 
 
		 
 
		 
 
		
 
 
		 
 
		 
 
		 
 
		 
 
		 
 
		 
 
		 
 
		