We are a family of 4 with carry-on luggage and backpacks flying JFK-SIN...landing at 6:00AM--terminal 3 I think. We must then clear immigration and make our way to Terminal 4 (by bus it seems). Then check in with Asia Asia counter and check bags due to their weight restrictions and head through T4 security. The Asia Asia flight is at 10:45AM

I would think this is enough time to do all this or are we cutting it tight??? We wanted to enjoy an arrivals a lounge at T3 for a minute, but I don't have a great grasp on immigration processing times, terminal transfer and AsiaAsia lines etc.