- Go to Settings and look for Hotspot and Tethering.
- Tap and turn on Wifi Hotspot.
- To change the authentication mechanism or password click Set up Wi-Fi Hotspot. (Select None for open Wifi network with no password)
- Turn on Wi-Fi and search for your own network.
- Select it and enter a password if required.
To root your phone manually, you need to turn on USB Debugging.
XDA Developers is a great site to help you with the process, support and Custom ROMs.
Check the below video for One click root method that works on many latest devices: