Syria : During your entry they will request around 60 $ for insurance.Refuse it ,because the actual amount is about 40 $. Places that should be seen are Crac de Chavaliers ( ~ 100 km.after Lazkiye ,on the left hand ) and Palmyra.
Jordan :Petra (magnificient !! - dont miss it.The entrance tickets are normally 30$/person but there is most probably %50 discount due present situtaion.And Mt.Nebo.If your into diving ,you should visit Akabe.
If you need any detailed info just say so. I was there in April ,so the infos are fresh.