Beginner - Why do voltage/current behave this way
The voltage is zero after the resistor because you have defined it to be zero -- it is the circuit common (or ground). 
If you are talking about the RLC circuit on the front page, it is because the L and C are energy storage elements that are charged by the voltage source before the start of the simulation. The simulation begins at the opening of the switch. 
It is a parallel circuit. The current is inversely proportional to the resistance/impedance of each branch.  
The lower right switch is shorting out the 200 ohm resistor, making the voltage difference across it zero.