1) How does inhibition of acetylcholinesterase cause paralysis? I thought it would just cause muscle spasms due to over stimulation at the post-synaptic membrane?
Finally a question i'm actually qualified to answer.
It should be obvious from the name that acetylcholinesterase is an enzyme. It's responsible for the breakdown of acetylcholine. If it wasn't broken down, it would just continually hang around and build up (which is what you don't want and this is why our bodies are "designed" to break it down).
By inhibiting AchE, you inhibit the breakdown of Ach, thus increasing Ach levels. Ach stimulates receptors on muscles causing them to contract. However, in this case, so much Ach is present that the receptors are constantly stimulated, eventually, they develop a tolerance to Ach and cannot be stimulated anymore.
So, in this case, you'd see the person initially twitch a fair bit due to the increased stimulation and then they'd become paralyzed after their receptors become tolerant/desensitised to the effects of Ach.