These missions are the first you get upon visiting Staunton Island. To activate them, go to Asuka's house, or follow the A icon on your radar.
Sayonara Salvatore is a timed mission in which you must take out Salvatore Leone. You need to do this before he reaches his home. You can kill him however he likes, either at the restaurant or along the route he travels to get home. You just need to ensure he can't get home (which you can do by using two cars to block the entrance to the garage so Salvatore can't get in). Then, use a Flame Thrower if you have one to take out all the cars.
Reward: $25,000
You need to take out a variety of people for this mission, and in a set amount of time, so head quickly to any of the objectives marked on your map to proceed. Ideally you will have a sniper rifle, as that means you can kill your targets from range without attracting too much attention. Grenades are also useful, as you have a vehicle to take out too.
This is a fun boating mission. Head to the docks and get in the police boat to chase your target. You need to damage the boat you are pursuing until the damage meter fills. Eventually, the reporter will get back to the docks, in which case you fail. Make sure you take him out before he gets back.
You need to go from phone to phone in this mission, so use a sports car to go to the first one in Torrington. Once you've answered it and spoken to the copy, go to the one at Belleville Park, then Liberty Campus, and finally Belleville Park again. With all these phones answered Ray will meet you in the restroom, so go and give him the money to complete this mission.
For this mission you need a very strong vehicle, like the Barracks OL. You can find one at the Army Surplus store. Once you have it, go to the casino at the objective marker. Tanner will speed away from you, so go after him. You need to fill his damage meter by ramming him, but you will also have a 5-star wanted level to contend with. Try to push his car into the water for an easy win, otherwise the police will make things very difficult for you with roadblocks and weaponry.
I blow up the reporter's speedboat with a rocket launcher.