EVNewbieUSA, welcome to the forum! Congratulations for getting an i-MiEV with CHAdeMO. The right-rear charging port is referred to as the J1772
port and handles both Level 1 (120vac) and Level 2 (240vac).
How long have you had the car?
What you'll find is that range is whatever you need it to be, and drive accordingly. In the early days we had lots of posts about hypermiling and how to squeeze out every last mile from the car, only to realize that it's almost never necessary and most of us don't even think about it any more. Lots of discussions in this subforum: http://myimiev.com/forum/viewforum.php?f=28
In a nutshell, if you think you'll have a problem getting to your destination, then SLOW DOWN, seriously, as aerodynamic drag is the biggest contributor to range reduction. Huge difference in range on an Interstate driving 70mph vs. 55mph. If it's winter, turn off the heater to maximize your range.
The Range Remaining indicator (one of the selectable screens on the right hand display) is merely a prediction based on how you have driven for the past 15 miles and assumes the same conditions will hold true. Different speeds, altitude changes, HVAC use, etc. can all produce a different result.
Anyhow, feel free to pelt us with questions and start a thread of your own if you wish, and I can even move your first post into it if you'd like. If you have the time to peruse this forum you will probably find just about every question you may have answered, somewhere...
Take care and have fun with Ruby and trust that you are sporting that EV Grin under your facemask.