Mareks in the flock does change things. It causes low white blood cells, and poor immunity to the common diseases. Where most chickens can shake off something with a good immune system, chickens who are Mareks positive may get more illnesses. When antibiotics are used before testing, it can...
Good observation about the blood in the nostril. Rat poison is a possibility, but also look for blood that may be due to a respiratory disease. With ILT they can cough up blood and sling it around the coop with shaking their heads. Are they coughing or gaping? Or are they lethargic and puffed up...
How old are they? What breed? What do the poops look like? I agree that a necropsy would be worth getting to find the cause. Your state vet lab usually can do those depending on your location. Here is a list of state vets to contact:
https://www.metzerfarms.com/poultry-labs.html
Coccidiosis can...