1) My brother has a free flight ticket but I do not know the ticket from where to where?
2) I do not know the departure aiport and arrival aiport of the flight ticket.
3) To where and from where is the flight ticket?
Did I construct the above sentences correctly?
'To and from' is a set phrase, so you can - informally - ask 'To and from where is the ticket?' or -better - 'Where is the ticket to and from?' But this is informal.
In formal situations you need to use something like your 2 - but 'arrival airport' sounds a bit odd. The word 'arrival' sounds to me as referring to a particular occasion, rather than a route; if you're meeting someone at an airport, you look for the 'Arrivals Board'. When talking about a route, it's more usual to talk about departure and destination.
Last edited by emsr2d2; 22-Feb-2013 at 15:01.