The trim Limit switch is on the outdrive at the pivot point. A black plastic puck, one on both sides. The drivers side is trim position and the passenger side is the trim limit.
The trim limit is a ON/OFF switch. 12 volts passes thru this switch to the up solenoid.
There are two Phillips head screws to loosen that adjust the UP limit when using the TRIM switch. (Up limit is the usable limit before cavitation occurs).
The reason for TWO wires on one side shown in the image for the up Circuit is, When the trailer button is pressed it Bypasses the trim up circuit and applies 12 directly to the up solenoid by way of one of the blue/white wires. Note: Both wires joined together at one side (female bullet connector).
(Note: the wire connection with two wires on same bullet connector (trailer mode), One is from control handle switch (trailer) and the other goes to the trim up solenoid on pump) (the single wire is from the trim up switch and goes thru the limit switch back on outdrive and back to the two wire connector as one of the wires of the two goes directly to the up solenoid)
The images shows this i attached in my first reply. You need to find that connection in the harness.
You can then, using a test light or volt meter (test light preferred), disconnect the two bullet connectors.
The single wire is the trim switch wire from control handle. The two wire is the Trailer switch wire from control handle.
You can then push trim switch at control handle and if you have light/voltage then the trim switch is working.
You already know the trailer is working.
When you say 3 position control, you mean that you have,
1. One rocker switch, it has three functions? Trim up/down and an over push activates trailer up?
or
2. Two switches and one is Trim up/down and the second switch is Trailer?
I am still not clear....