3 week old red eyelids/spots

Jess

My little one is 3 weeks old and for the past week she’s had conjunctivitis in her left eye. Over the last few days though I’ve noticed both of her eyelids have gone quite red. She’s developed little red spots all over her face too (see photo) I’ve been bathing her eyes in cooled boiled water and cleaning her face daily, is there anything else I can do for her or do you think I should visit the doctor? First time mum so new to all of this!