Hi , your symptoms looks like Contact Lens(CL) induced Allergic Conjunctivitis
. Stop wearing CL for at least 3 to 4 weeks until you are free of your itching and redness
. And this type of Conjunctivitis will itself cause inadequate tear secretion which is the reason for your burning.
I would suggest using a good preservative free lubricating eye drop
along with your current medications for a symptomatic relief.
I don't think fever
is related to this. And do check for the condition of your CL, did you use any new brand of cleansing solution or prolonged wearing of the CL should also be kept in mind.
Hope you recover faster.