When I am starting a new pack of birth control pills after ending my current pack. Will it be okay to take it a couple hours after my regular time?

Timing is everything. The first few pills of your new pack are the most important. Try to take them on time. If you want to reset your regular time, start with the first pill in the pack and stick to it. If you're moving the time up, start on schedule. If you're pushing the time back, you should start your new pack a day early (skip a placebo pill from your last pack). This ensures you don't ovulate.