Hello,
when installing Linux Lite you have an option to wipe hdd and install Linux Lite, if you wish LL as your OS.
As Ottawagrant wrote whether to use 32bit or 64bit is a consideration of the RAM capacity.
If your wireless card is otherwise working, being unable to connect is likely due to a driver not being installed, or an issue with the driver installed.
Menu>ALL>Install Drivers> Additional Drivers which drivers are visible ?
If not -
1/Open a terminal window and copy paste this -
sudo lshw -C network
2/ press enter.
3/ Type your password and press enter
4/ Copy paste the results of "Wireless Interface", and below this "Product" and "Vendor" into your
reply, and the community will be able to provide accurate help for your wifi.