Are miracles proof of divine mission? Bible Contradictions

This Bible contradiction is from the EvilBible.com.

Verses

Miracles are proof of divine missions

Matthew 11:2-5 View context

Now when John had heard in the prison the works of Christ, he sent two of his disciples,

And said unto him, Art thou he that should come, or do we look for another?

Jesus answered and said unto them, Go and shew John again those things which ye do hear and see:

The blind receive their sight, and the lame walk, the lepers are cleansed, and the deaf hear, the dead are raised up, and the poor have the gospel preached to them.

John 3:2 View context

The same came to Jesus by night, and said unto him, Rabbi, we know that thou art a teacher come from God: for no man can do these miracles that thou doest, except God be with him.

Exodus 14:31 View context

And Israel saw that great work which the LORD did upon the Egyptians: and the people feared the LORD, and believed the LORD, and his servant Moses.

Miracles are not proof of divine mission

Exodus 7:10-12 View context

And Moses and Aaron went in unto Pharaoh, and they did so as the LORD had commanded: and Aaron cast down his rod before Pharaoh, and before his servants, and it became a serpent.

Then Pharaoh also called the wise men and the sorcerers: now the magicians of Egypt, they also did in like manner with their enchantments.

For they cast down every man his rod, and they became serpents: but Aaron's rod swallowed up their rods.

Deuteronomy 13:1-3 View context

If there arise among you a prophet, or a dreamer of dreams, and giveth thee a sign or a wonder,

And the sign or the wonder come to pass, whereof he spake unto thee, saying, Let us go after other gods, which thou hast not known, and let us serve them;

Thou shalt not hearken unto the words of that prophet, or that dreamer of dreams: for the LORD your God proveth you, to know whether ye love the LORD your God with all your heart and with all your soul.