Make sure your bike is properly fitted to you, in proper working order with everything lubed and adjusted, and put some less aggressive tires on it, say something like 28mm all weather road tires and run them near the top of their pressure range. That way you know you're getting the most you can out of your hybrid. Roadbikes are intended for the road, but even saying roadbike leaves a lot of room. A steel touring bike with 28mm touring tires is going to feel heavy and slow compared to a carbon fiber road bike sporting 23mm wide road slicks.

You asked if there was anything you could do to check to see if there was anything wrong with your bike. First, closely inspect everything for damage. Look for things bent, out of alignment, or otherwise damaged. Pick up each end of your bike and spin the wheel. It should spin freely with no brake drag. Look for wobble or out of round. Check to make sure you don't have any broken spokes. With the back wheel off the ground, spin the crank by hand and feel for any drag, grind or unevenness. Passing those quick checks, you can always get it inspected at the LBS to be sure.