In a country as culturally diverse as Dubai, how do you target your market through social media and appeal to specific demographics?

All the major social media sites have excellent filters to segment your ad to reach the right audience. Use the Facebook/Instagram Ad Manager and create a campaign for each specific group you want to target. Facebook has many help pages on the subject and it's easy to get started, try small campaigns, like $2-$5 USD and evaluate the results. Adjust to reach the perfect group. It's easy to specify in great detail like age, gender, language, education, ethnicity, education, hobbies and much more - choose who you want to target, and also, who you DON'T want to target.

I presume we would need to know the target audiences. Are toy targeting 18-23yrs? 20-30yrs? Without this information, we cannot be able to respond accurately or provide better answers. Also, let's say if you did provide the target audience, we would then be able to decide which social media platform could achieve the anticipated KPIs.