the tranny fluid used on rsx-s most likely not the synthetic, i 've asked acura mechanics to change my tranny fluid to Red Line synthetic, but he said if i do that, it won't be covered with warranty. so i think it's better to used up your warranty miles with the stock tranny fluid, and if u do experience a "lot" of grinding, just simply ask them to change one for you.
the stock engine oil doesn't look like synthetic either, but i think u have a option after 10k miles or so, that u can ask for their synthetic. i use Mobil 1, and a lot of ppl use it as well. what u really wanna change however, is the oil filter. OEM oil filter is Fram, a lot of ppl experienced problem with that oil filter, cracks..etc. so i'd suggest a either a cheap STP or expensive Mobil 1 filter.