I'm a runner too and unless it is uphill the entire way, you should be fine since your running pace is good. Your running gear will suit most of your needs. I wouldn't invest in any additional clothes until you determine what you need.

As for bikes, get ready for a variety of opinions. I was a new commuter not that long ago and I am glad that I invested in a good road bike that is designed for commuting. Fenders and racks easily attach, etc.

Good Luck.