Can somebody help me how to export (make another copy) of my wallet in another pc. I know how to update blockchain, but I don't know how to copy my wallet to another pc.
I do not know if just copying and pasting the wallet.dat (latest one in my current pc) and latest blockchain files will work just fine.
Also, I want to know how to generate or find the public addresses with my private address
You can backup your wallet by going to file in your wallet, and clicking backup wallet. That will save the wallet.dat file to a location of your preference.
To get a public address from your private key, go to the console within your wallet. Unlock your wallet if it is encrypted using:
walletpassphrase MyWalletPass 60
Then import your private key with:
importprivkey MyPrivateKey Lable
What each of those three words mean: Command - actual private key - what you want to call it
You can also get these instructions from the litecoin website. GAME is a modified litecoin blockchain.
https://litecoin.info/How_to_import_private_keys