Circuit analysis - software?
LTSpice (http://www.linear.com/designtools/software/) will easily do all that and more besides. You can build up the circuit, define your voltage sources and then measure power in all the components, and power being used by the voltage source.
What you're after though is very basic with regards to analysis, so basically any Spice software will handle this. LTSpice is free, as is Tina, and many others. Certainly LTSpice has a great community around it, which sounds like it'll be useful (have a look at the LTSpice users group)

Also, if you want to find overall resistance, then you can find this from the voltage supplied and the overall current draw. For simple DC stuff you can take the values from Spice and bung them into a calculator, or you can do math with sources in LTSpice to be able to plot the resistance out over time for more complex AC analysis