Had my R3 a couple of weeks now. Took the other half out at the weekend and dragged our tail through the traffic in Bodmin. I noticed (maybe just when two up) the bike feels a lot less planted when trickling round corners at very low speeds. I have the standard R3 - no changes to bars, suspension settings. Maybe a bit more pre-load on the rear would help?
I have a standard 2005 RIII, and found that with spirited solo riding the rear shocks just weren't up to it.
Most riders, solo or 2 up, tend to replace them.
Hagon Nitro's come highly recommended, as do Progressive 440's.
Pending on your combined weight, you might want to go with HD springs. Hagon are a UK firm, and will advise you on what to get, if you let them know your weights & riding style.
The stock shocks are crap and you definitely need to change them to whatever brand you choose! The best investment you will make on the bike, well that and the horn!
Yea you need a relay. I did not have to take mine apart to get to fit in the side panel. You may want to make a small bracket or just simply cable tie in place. I ran the wires under the tank from the original horn to the stebel. Was an easy and worthwhile mod.