It's been a little over a year since I got my first road bike. It felt HORRIBLY scary and unstable at first (I am about a half-inch shorter than you and also short-legged).

Now I am ready for my upgrade. By the end of Summer my bike felt TOO stable...not nearly as responsive as what I need at this point.

I also had sore hands and butt at first. What really helped with those things was riding more and doing regular core work so that my midsection would support my upper body and not just my hands bearing all the weight.