Need advise for wireless gaming adapter/router

Hi, I am in need of a new wireless adapter and router for PC gaming. It is a bit of a long story but my i gave my good adapter to a brother and i got his bad one and now im lagging badly in games. I know a bit about computers but not much in wireless networking so i would like some help in getting a new one from newegg. The router i have is located in the next room to me so range is not a problem,also it is working but its like 3-4 years old and is a wireless G so im thinking its probably best to just replace it.

So i was looking at some adapters like these;

http://www.newegg.com/Product/Product.aspx?Item=N82E168... -TRENDnet TEW-647GA Wireless N Gaming Adapter

or

http://www.newegg.com/Product/Product.aspx?Item=N82E168... -BELKIN F7D4101 Play N600 Wireless Adapter

and as for a router I am not so sure about these but i found this;

http://www.newegg.com/Product/Product.aspx?Item=N82E168... -TRENDnet TEW-639GR Wireless Gigabit Router 802.11b/g/n up to 300Mbps

any suggestions would be helpful and very much appreciated.