The first sentence could be read to suggest that local anaesthetic is used in some cases that present themselves with full muscle relaxation.
The second sentence is clearer, letting the reader know that different anaesthesia is occasionally used, but that where a general is used full muscle relaxation occurs.
Effect is used as a noun, affect as a verb:
http://www.wisegeek.com/what-is-the-difference -between-affect-and-effect.htm
I am diffident about responding to this part as it may be that medical phraseology uses the phrase 'mass affect' to mean a particular event. eg if you substitute mass affect with 'haemorrage' - used as both a noun and a verb in medicine.