Glad to hear that you are making some progress...
Is your mifi battery powered? Might want to watch the time, in that case

I always recommend that an ethernet connection is your best choice when using the internet recovery.
But, I also recognize that not everyone has the adapter needed to do that with a rMB.
And, a proper wireless router would also likely be better than what you have.
Eh..., but you get to "run what you brung" - good luck!