...is what you get from IP chicken. From outside your home network, that will get the data packet to your router. The port number after the WAN IP and colon will be seen and by your router and forwarded according to the port forwarding table.
Private v corporate: the short answer is I don't know. My guess is that either is fine but both are probably regulated. I would image more so by other entities on the net than by the government. I have heard that not playing nice may get you de-peered.
For example, if you bought or leased a single IP (for example 99.98.97.96) and you or someone you allowed access did something (I'm not sure what) to offend another entity (let's say Comcast or IBM) they may respond by altering there gateways to return a 404 error to request originating within or traversing their networks when your IP is accessed. Governments (you can probably surmise which) will sometimes de-peer certain addresses or ranges due to those sites hosting info the governments feel is "dangerous". They enforce this by requiring the gateway owners to set these policies.
FYI: we are fast approaching the limit of my experience. Feel free to ask anything and I'll try to remember to highlight the differences between what I believe is correct and what I know to be fact. If there is something that I say that doesn't checkout, please let me know. One never learns anything quite so well as when you try to teach someone else. 
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