Eye Injury from a bad contact?

I wear disposable contacts. This morning I went to put a new pair and one seemed caught on the packaging.. almost as if it had become lodged in between the plastic lip and the glued down lid that you tear away. I washed it off and it seemed fine, so I inserted into my eye. At first it felt fine. Then within a few minutes my eye felt irritated. So I removed it and threw it away. I then opened a fresh one and it felt fine all day.

After removing my contacts this evening, that eye feels very irritated, as if it is being scratched every time I blink. I thought this a bit odd that it felt fine with the contact in place and scratched when it was out. So just out of curiosity i reinserted the contact and the irritation stopped. But once removed again the irritation continued. Is the contact perhaps preventing irritation to an injury - such as a scratch to the surface of my eye from the faulty contact?

Any ideas? Any remedies?