If I use Clear Eyes redness relief eye drops, can I put my contacts back in after putting the drops in?
Not a good idea. The drops that are entitled "gets the red out" are drying. Your best bet is to abandon these and use lubricating or tear replacement drops. These will enhance the tear pool which is a good support for your contact lenses. Use gets the red out drops only for those infrequent times when you might do something like having a picture taken.