Okay, so it turns out running two runs in one day just ain't gonna happen. So I figure, I run the 2km 3 times a week, with my usual runs inbetween those, so I'll be running Mon-Fri.
By the way, here's why I'm stepping up the pace right now. I have signed up for an indoor triathlon at my gym, consisting of 2km running, 5km cycling and 125m swimming. Basically, I wanna go and do my best and try to improve my times. The event is on the 23rd September, so I have time to improve my running, cycling and swimming times.
I will be sticking up a plan for my week regarding exercise for the rest of the week. Thanks for the encouragement guys!