Hi.
There will be no problems in chemistry and no advantages gained. In fact, I believe that Redline oil is a synthetic oil which means it can extend your oil change intervals. Swapping in some Pennzoil will affect that advantages. For example, a 5 quart sump filled with Redline will probably allow you to extend your drainage interval, but a sump with 2 quarts of Redline oil and 3 quarts of Pennzoil Conventional oil will not allow that much of an extended draingage interval. Of course, it's also dependent on how you drive, where, and what you drive.
No problems, but no andvantages that I would be able to see. It won't hurt your car.