Here are just a few problems out in the worlds, and some solutions for them.
Unemployment. Take of a life of crime. Worst case you end up in prison, where you will have a roof over your head and three squares a day.
Teen pregnancy. Abortion is legal, right? Problem solved.
Ebola in the USA. We fence off Florida as a quarantine zone/Ebola colony. No one will miss Florida.
The war on drugs. Two options here. One, legalize them all and tax the hell out of them. Or start executing the people that launder the money. Either way.
Illegal immigration. We annex the countries these people come from, and then improve them to the point that there is no need to leave.
Now these are just a few. If you have any problems that need a solution, just leave them in the comments, and we will get to them later.