1) Yes the jibs are cut differently.

2) The jib is made to be used with battens. If you sail it without them it will flutter and eventually beat itself to death. Since you previously indicated you wanted to take good care of your sails, I recommend against sailing without battens.

Just expect it to get hung up in light air. In medium air it shouldn't unless your battens are too long. If they are, trim them down so that when tensioned they just barely stick out of the pocket.