I moved both the centre of gravity and of lift.  Unfortunately we have no way to see what %MAC we have after loading the aircraft in order to properly set the trim.  Generally you should be OK in the middle of the green band. Fully loaded, you need more trim than that.

As for climb, I tested this extensively against real world climb charts. Fully loaded, you should climb intitially at a little over 3000' per minute and of course at 250 knots below 10,000 feet, but this will decline with altitude until you are down to about 500' per minute some time after 30,000 -- I don't recall the exact figures off the top of my head.  This flight model is very close to what it should be -- maybe the climb is a little low, but it's very close.  

You have to check the climb power against TAT as you climb, although once your speed is stable, EPR should rise pretty much on its own as you climb to the required amount (under standard atmospheric conditions). After 10,000 feet you should be climbing at around 280-300 IAS, using the higher value if you are heavy.  The charts I had stated 280 knots and then transitioning to mach 0.7, although other charts and guides I have seen have suggest higher figures.  I found in testing that 290 to 300 and then Mach 0.72 the best climb when fully loaded.  If you let your speed get too low, you will have to significantly reduce your climb to accelerate.  

I used the autopilot for testing as it allows very fine control of pitch.  In my experience the main trim control is too coarse to be able to climb at the optimal rate.

Finally, I believe the charts I used give climb power settings a couple of points higher than in the charts I referenced in the download -- i.e. 1.85 instead of 1.83 for example.