Hey Hutch, stick your head down under the LHS of the F3, & look inboard of the foot peg/plate - there's a Reverse Gear Actuator (or some similar name?! :dontknow: ) inside/above it's holding bracket hanging down underneath just there - it should be fairly obvious. If the bracket holding the actuator gets bent at all (& it's easy to bend it if you ryde over anything & belly out!

) the actuator won't move/pull 'enough' to let you select reverse, and all it usually takes to fix that is to bend the bracket back into its 'proper position so that the actuator moves the selector the correct way/distance

hyea:
Sometimes, the bracket is bent too much & needs to be replaced, but for most it's just a matter of 'bending it back up' or 'bending it back down' until it's in its correct position. Sorry, but I can't tell you how to identify which way it needs to go, but there are a few threads on here about it, with pics too, I think in the F3 shop section, and this problem often leaves people either stuck in neutral or unable to easily select reverse or first..... :banghead:
The other thing it might be on an SE6 is a dead or dying Gear Position Sensor, but that usually means all gears become difficult to select rather than just first &/or reverse.... a failed/failing GPSensor is fairly easy to replace youself & fairly cheap to buy, especially if you go to some place like cheapcycleparts.com.
Hope that helps some. Over to you! :cheers: fm South Oz! :thumbup:
Ps: where in Oz are you? I might be able to put you in touch with a local who could help?! :dontknow: