Would most brain injuries at birth lead to pralysis, CP(cerebral palsy), etc. (Just a question!)

No. Only severe injury to the motor cortices or descending motor pathways or spinal tracts would cause paralysis. Cerebral palsy is usually the result of a failure of part(s) of the brain to develop properly. Whilst this can interfere with the control of movement, it doesn't (as far as I know) result in paralysis.

Oh, so anything below or above the motor cortex wouldn't cause pralysis

There isn't anything above the motor cortex if you're talking about physical position. However, there are things below the motor cortex that, if damaged, would result in paralysis. The spine, for example.

Oh ok