Some good tips above already.
In my experience half of what makes you perform well in light wind comes from:
-Kite choice
-Line length
-Board choice
-Body weight (the lighter you are the better)
and the other half is just
skills (flying skills mainly, but also board skills).
Assuming your kite and lines are
well tuned (not oversheeting) then you shouldn't really worry about trimming it when you're underpowered. Just use the default settings. I go out in sub 12 knots regularly (hydrofoil) and never bother trimming the kite unless I'm overpowered of course.
Personally, being on the heavier side (85kg), I find sub 15 knots on a twin tip hard to enjoy
unless the water is flat (no current, no chop) regardless of gear selection. Open ocean in sub 15 knots on a twin tip is hard work and just not that fun anyhow, especially if you're heavy.
The top 2 flying mistakes in low winds are to
pull the bar too far in and
not sheeting out during the upstroke or when you get plenty of apparent wind (speed and power). Not sheeting out enough during the upstroke or when you have plenty of apparent wind chokes your kite (slows it down) and prevents your kite from moving forward in the window, which will most likely slow you down too much on the board and you will loose upwind performance.
There is a very fine line in low winds between too much and too little bar pull and that constantly changes depending on Wind speed/gusts and the fact that you are stroking the kite or keep it stable.
Better equipment will most likely help in your case, but building expert light wind flying skills
can take many years of practice.
Persistence in low wind pay offs over time, you become much more efficient and end up using much smaller kites than your peers in any conditions. Smaller kites are much more fun
If you get a chance try to borrow / demo a recent model light wind specific kite and compare it with yours.
Christian