Proofs of parallel planes theorems

Can someone check are my proofs correct?

**Theorem 1:** If there are two intersecting lines and which are parallel to plane , then lines and determines plane which is parallel to plane .

*Proof: * Lines and determines plane which doesn't have common points with so if then planes and are parallel.

**Theorem 2: ** Through given point there is only one plane that is parallel to given plane .

*Proof: * Lets say that plane goes through point which is parallel to plane . If there is another plane for example that would go through point which is parallel to plane then it would be .