[What is differnt in Tekkit?]

use the techniclauncher for tekkit / technic

use the regular minecraft.exe to play vanilla.

read provided info carefully to begin with

profit

[Playing Tekkit not on LAN]

- look into hamachi (vitrual LAN solution) - hard way but can save money

- rent a server - easy and reliable. i recommend beastnode.com

many people out there host servers with free access too. look for those.

also, your english is fine.