Continuity mistake: When Hayes passes Perry the laptop onboard the plane, the screen shows VLC media player on the screen. When we see Perry, the laptop is showing the desktop. (00:17:00)
Revealing mistake: Supposedly in Liberia, the team takeoff in a helicopter. However, when they take off, the camera reveals the airfield, where several general aviation aircraft are parked. This is highly unlikely to be in Liberia, also the night lights seem to be somewhere in Cali (perhaps LA)). (00:27:20)
Answer: Yes. They would have to land 3-4 times for refuelling. The plane could fly with the wheels down, but the additional drag slows the plane and increases fuel consumption.