The weather in March is still pretty good..
Bastikiya Village, Night Souk, Spice Souk, Big Bus Tours, Desert Safari's...
Sharjah Mosque Tour, Dubai Museum, Blue/Train Souk
Al Hallab (garhoud), Al Muna ( madinat jumeria)
Taxi's are expensive.. u might want to purchase a local sim!
U're best bet is taxi's.. be prepared to get into long lines if u needs one back from a mall!