runkeeper will do the gps tracking you want. It is a great app and the free one does just about everything, you don’t need to buy the pro version. The only quirky part about it is if you are traveling and keep starting from different locations, you sometimes have to start and stop it a time or two before it figures out where you are now. Other than that, I have never had a complaint.

I don’t know about the wi fi, there must be one and it would be handy to have, I will keep an eye on this question so I can learn too.