I found Eye East on the web. It contains goldenseal, rosemary, eye bright and chamomile. The website I checked did not indicate what liquid is used. Most eye drops use sterile normal saline. The product should be safe and will help lubricate the eye. It is a reasonable first try at treatment.
I do not know if Eye Easy is more effective than liquid tears or saline eye drops, which are probably less expensive. A plain eye ointment, which should be available over the counter, would leave a film for longer than eye drops and might help sooth for longer. Using drops every few hours during the day and an ointment at night would help ease the irritation of simple conjunctivitis and dry eye.
Cloudy eyes can be caused by cataracts. Cloudy eyes can also be caused by changes in the refractivity of the eye result in reflected light giving a hazy look to the eye. Both are common in older dogs.
Ticks on the eyelids don't usually cause red eye although a tick transmitted infection might. Most of the tick borne diseases (Lyme, Ehrlichia, Anaplasma, Rocky Mountain spotted fever, etc.) have other signs and symptoms.
I hope at home treatment works. I understand the concern about additional trips and costs of veterinary care.