You absolutely should be. That is part of the regimen. Cleanser, benzoyle peroxide, moisturizer. Make sure you use a non-comedogenic moisturizer though. Recommend dans, cetaphil, or cerave.
yes please do! I use cerave moisturizing lotion, it makes your skin feel like it's floating on clouds, it's so gentle and soothing, plus it absorbs really quickly, try that! YOU SHOULD ALWAYS MOISTURIZE! It's so important!