1. Since you are in possession of the proeprty you have nothing to worry.
2. Since I could not see the case papers it is difficult for me to make comment on the merit of the case.
3.If the case is delayed there is no harm in it as you are enjoying the proeprty and it is the person who has filed the case should be more worried about the same.
4.I do not see any chance of success of the person who has filed the case.
5. Yes you can get proeprty transferred in your name by way of gift deed unless there is any injunction order agaisnt transfer of the proeprty till the suit is disposed of.