Three Commands are effecting your internet connection to the CS1.6 server so you may need to ajust them in the console during game playing!!!
1. cl_updaterate(receive data packets to server): You can set it to 101 on your config file, and if you have choke during the game, you always lower it to a smaller value until you get a no chokes. If you were getting like 20 chokes, lower the cl_updaterate to 70. If you still get chokes then lower it to 50. This setting is supposed to be around your average fps.
2. cl_cmdrate(send data packets to server): it is similar to the cl_updaterate. do the same thing as above.
3. fps_max: Set your fps_max to 101 first. During the game if you see your fps goes down to like 40-50 and keeps moving around laggy, then set it to fps_max 75. Keep lowing the setting until it remains constant.
4. rate: You want max performance set it to 20000. LAN is setting to 25000 - 30000. Use rate 20000.
5. colour: use 16-bit colour.
6. graphic: If your graphic card is not a fast one, set it to worst-looking smoke grenades.