I have a new Esky HoneyBee Helicopter

I followed the directions; put the helicopter on a smooth gym floor; turned on the transmitter; then plugged in the battery. The LED blinked red three times, then green four times, then stayed solid green. I slowly pushed the throttle stick forward but not to take off. The thrust of the tail rotor blades did not counter the torque of the main rotor blades. The helicopter just spun on the floor until the antenna was wound around its base. The trimmer on the transmitter does not increase the tail rotor enough to counter the main rotor.

Page 5 of the manual says:
"Watch and observe if the tail rotor blades rotate in proper proportion to the main rotor blades. That is, to observe if the thrust of the tail rotor blades can counter the torque of the main rotor blades. If not, dis-connect the batttery and adjust the Proportion Trimmer (2) [which page 4 shows is the Proportion screw on the Control Box] to increase (+) or decrease (-) the r.p.m. of the tail rotor blades."

My vendor has told me NOT to touch the proportion screw because it was set at the factory, but unless I do, the tail rotor will never be able to counter the torque of the main rotor. I have a few choices: adjust the screw as the manual says; send it back because the control box is bad; or accept that my vendor just says I am inexperienced and will learn over time. I cannot learn when the tail rotor cannot counter the torque at all.

Should I try adjusting the screw or is it a bad control box?

Sounds like you could just be short on head speed, I dont have an electric so dont quote me. If you give some more power dose it settle down or spin faster?

When I give more power, both blades increase but the disporportion remains the same. The solution to me seems to be to follow the manual and adjust the proportion screw, but the vendor says I should not (even though the manual says to do so) and that I am just inexperienced. I've been at this over a week now and the problem continues exactly the same. I wondered if anyone had adjusted their proportion screw with no problems.

Your helicopter may not had been properly tweaked while in the factory. If you just bought it, you should ask for an exchange. Your vendor suggested you shouldn't try to adjust the proportion screw because he assumed that everything rolls out of the factory is 100% tuned within specification. But he may not realize that the factory workers who tune the helicopters in China don't tend to stay long in the same factory. They move from one factory to the next factory for better pay or some just quit and never come back after a holiday. That's why factories in China have problem keeping good and skillful workers and they constantly have to hire and train the new workers almost every season to replace those workers they've lost in order to keep the factory's operation going. So a newly trained factory worker with little experience of tunning rc helicopters will less likely tune your helicopter properly.