Is it still considered jogging...

I actually prefer running outside to the treadmil. With the treadmill you are constantly looking at the same spot, while outside, the scenery changes, so for me - less boring.

As far as speed goes, I'm not a fast runner and probably never will be. I haven't ran much lately but I want to get back into it. I do think that I will start out on the treadmill to get back into it and until the weather warms up a bit for me to progress to outside. I've read many places that the speed will eventually come if you keep at it, but I don't really think it ever did for me. I do believe that if I would have kept at it longer than I did that it might have but I didn't really like running that much and only did it for the fitness benefits.

Keep at it and it will get better.