Is there any grittiness or burning?
Is the vision affected?
Blinking may be because of blepharitis. In this condition you can have grittiness, redness and dryness. Probably you have mild blepharitis. Another possibility is a resolving sub-conjunctival hemorrhage(broken vessel) which does not require treatment usually and should go in another 2-3 weeks. Redness could also be because of the lubricant eye drop you are using. You should use a preservative free eye drop like Refresh Tears. I hope it helps.
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