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It is possible to treat your brown and red acne mark with different lasers in a single day. I would suggest you leave it to your doctor to decide which treatment is the best for your condition.
Normally I will control the acne first to prevent new breakouts that may cause red and brown marks. Your acne marks will fade away with (faster) or without (slower) treatment over time.
I assume that by qswitch laser you are referring to the qswitch nd:yag laser. It is possible and in fact, common, to combine both lasers. They target different chromophores and different layers of the skin when used conventionally.
Different physicians have different protocols for their combination and I would leave it to your dermatologist or aesthetic physician to advise you accordingly.
Hope this helps!