Interesting. The UAE Court would definately have jurisdiction in the matter, as all crime is local and court within whose jurisdiction it happens has the jurisdiction. Similarly India also would have jurisdiction by virtue of extra-territorial application of IPC on Indian Citzens anywhere in teh world (S.3/4 IPC).
Coming to the next part of your question : Section 300 deals with Double Jeopardy (apart from offcourse 20(3) which is a narrower protection) sub section 6 or 7 clearly provides that 300 in no way affects S.188 of the CrPC. Section 188 deals with jurisdictional principle of cases which happen outside India but still are liable to be tried in India (remember S.3/4 IPC). However there is a safeguard the person cannot be tried in India except with the consent of the Central Government. Here a representation may be made to the Central Government bringing to their knowledge facts highlighting double jeopardy (i.e proceedings in UAE).
Good Luck !