I just bought a new Integra with the 1.5 about a month back, should I be worried about this?

Short trips kill cars.

Cars are meant to be driven 15-20 minutes at minimum. The oil needs to get up to temperature, the exhaust system needs to get up to temperature, you need enough time at temperature to vaporize water and fuel out of the oil and let crankcase pressure move those vapors out of the engine.

I work with classic cars and I tell the owners to never let the cars idle more than a minute or two and never take short trips.