Don't mess with your saddle yet, especially if the saddle isn't bothering you. First loosen the handlebar clamp and rotate the bars back, towards the saddle.
Presuming the brake hoods angle road-ward a bit now, bring the hoods to level or perhaps a little above, and try out the feel. Be sure to ride some in the drops as well, because in rotating the bars back, you want to be careful that the ends of the bars aren't too far off level, and pointing downwards. When they are like that, it can be difficult and dangerous to ride like that, as keeping your hands on the drops takes more grip and they can be easily knocked off by bumps in the road.
If simply rotating the bars back makes the drop position lousy for the above reasons, then loosen both the lever hoods and the bar clamp so that you can rotate the bar forward (to level the bottoms of the hooks) and move the levers further up the bars (to keep the hoods at road-level or just above as comfy). You'll need to unwrap and rewrap the bars to do this.