normally your package should be more than 10.000 QAR to apply for family visa so you might as well give a try ...submit your documents first and see if they will accept or reject your request
for your driving part no...you need to issue prior your departure a visa with the designated country and as someone said * In Saudi Arabia it's not allowed for a woman to driver , I am not sure if the rule applies to foreigners as well but why take the risk * and in UAE you are allowed to drive but again you need visa to entry the country...