People make exchanges support it, all write to your exchanges if you had LTC at 28th February and ask them to give you what's it's yours: your LCCs.
I doubt that most of the exchanges will support this fork, if any at all. You are best advised if you keep your LTC in a wallet that you control the private key of.
You may never know, look at BCC. Agree with the priv key however, if you re claiming - make sure the address is empty first.
Ok but to me it seems more and more unlikely that exchanges will put in the effort to distribute all the coins to their customers.