We consider a network that the transmitters are located as Poisson point process and each has its receiver at a given distance. Additionally, a packet arrives at the transmitter following Bernoulli distribution and departs with medium access probability. The success of transmission is only when the SINR is greater than a given threshold. In this situation, we improve the previous work by considering varying multi-traffic class and general kind of fading in the network. With these additional assumptions for practical situation, we investigate the stability condition, success probability, and the mean delay of a packet.