Regarding the first issue, I think that is pretty normal for economy segment automatic cars (basically 95pc of the cars in Pakistan). Don't think it is happening because your car is Chinese.
CVTs, for example, have a small lag as well because that is how that particular transmission works. Please research on how DCT works, and I think that lag should exist in DCT as well - obviously these are not high performance cars, but I get your pain-point, you will have to adjust with it / learn the behavior over time
Lastly, it is possible that you might have a problematic car for some reason - you can get it analyzed by a reputable shop / mechanic (authorized 3S maybe?) to be more than ninety percent sure.