For the past day or so my eyes burn and feel like a sunburn... ONLY in the inside corner towards my nose. Now I've noticed that I have a red spot on each eye beside each cornea. The spots aren't real dark or bright red but they are red enough to notice. I have been under a little stress... I thought it may be caused by my stress elevating my blood pressure and may have popped a blood vessel. But I'm not sure. Can anyone help? What could this be and what may have caused it? Thank you in advance.

It could be what caused it. There could be other reasons for that too. It is hard to say without examining you. I would take a trip to your doctors.