Easter Rooster:
Looks like he is motling. The blood is most likely from broken blood feathers. Some people pull out the broken feather if it seems to be a problem. Since he is bloody, at least try to clean up some of the blood or cover exposed areas with some Blu-Kote to hide blood from any other chickens he is quarantined with.
http://www.keepingchickensnewsletter.com/site/pin-feathers-blood-feathers-chicken-first-aid
Lavender Orpington eye problem:
It looks like she may have an infection in the eye. One of the most common causes of eye infection is respiratory disease. There are several, so usually it is hard to determine which one. Mycoplasma, Infectious Bronchitis and Infectious Coryza, IMHO are the 3 most common respiratory illnesses seen. Each one is contagious and can be spread to other birds either through direct contact, shared feeders/waterers, clothes, etc.
Flush the eye with saline, remove any pus/discharge that you see and apply some Vetericyn eye gel or Terramycin eye ointment. You may need to do this several times a day to keep the pus/discharge cleared. Watch for any additional symptoms like coughing, sneezing, wheezing, mucous from the nostrils, etc. If symptoms don't clear up or she gets worse, then antibiotic treatment may be necessary. Antibiotics will only treat any secondary infection and will not cure respiratory illness. Keep in mind most respiratory illness make sick and exposed birds carriers of the disease, regardless is they ever show symptoms.
I do hope you have them both quarantined away from any chickens that you may already have. A quarantine period allows you to access the health of any new birds before adding them to your flock. Some illnesses are highly contagious so you don't want to pass it along to your other chickens. Check them both for any signs of lice/mites and practice bio-security when going between flocks.
Poultry Diseases:
http://edis.ifas.ufl.edu/ps044
Quarantine and Bio-Security:
http://www.the-chicken-chick.com/2016/08/biosecurity-for-backyard-chickens.html
http://www.the-chicken-chick.com/2012/12/quarantine-of-backyard-chickens-why-and.html