Don't be intimidated by the Vin/Vout graph. Just read off the values and you'll see a pattern of sorts.
If your input was 5mV, and your graph at Vout at 2V, then your amplified wave will be at 2V where it was at 2mV. The clipping business occurs because you get the same Vout for more than one Vin value. So on your output signal graph you will have a flat section because where the input was a certain mV, it will be that V as per the graph, but will be for more values as well.
I don't think that makes sense... if you understand gain, just draw your amplified signal without clipping, then draw in horizontal lines where your min/max Vout occurs and it should be intuitive where to clip.
Vrms is Vp/sqrt(2). Vp is half of Vpp, and Vpp is the height of a wave on an oscilloscope. I was taught this as part of the elec/photonics, but from my brief look at the study design this is only in the detailed study?
A diode goes into an AC circuit usually as part of rectification. Again, I believe this to only be in the detailed study. One diode will give half-wave rectification (As it will only let the current go in one way through it - there will simply be no current going the other way so you cut off the -ve parts of the AC wave). Arrange 4 diodes in a certain way and you make a diode bridge - creating a DC or full wave rectifaction.
Hope that helps.