When at Idle or when put in gear to take off motor pops and dies. But it starts right back up. I f you rev it up and when it starts to idle back down throw it into gear it will go ahead and take off. When idleing in to put on the trailer it will die also. And I also noticed when running full throtle you can feel it kinda cutting out just a little bit. Our outboard shops around here are not to good about fixing problems. So any advice would be greatly appreciated.
An initial guess would be a combination of linkage and throttle synchronization plus carburetor problems and/or adjustments causing the lean "pop" at idle. Usually there are more than one item that causes poor running as all the outboard's system have to work in unison. Check compression, make sure both cylinderheads are warming up per specs, adjust sync and link, have the recirculation system inspected and cleaned if needed, same with the carbs. On that old a motor a good decarbonizing using Engine Tuner per the instructions would be a good idea. It may even have to be repeated depending on how long it has been decarboned before. Make sure the motor is propped correctly - around 5800 rpm with an average load is ideal, and between 5600 and 6000 is OK.
If this is beyond your capabilities (do not even attempt without a factory service manual) work with your local dealer to get the engine running correctly.