Hi,
Sorry to hear of your problems with your MSR Dragonfly.
It wont Ignite, infact there no fuel getting to the wick even though the pump seems to be ok. Its the first one i've ever had so i might be me just doing or maybe not doing something correctly.
Ok from the above there are 2 possible issues.
1. The fuel bottle is not pressurising
2. The fuel line and or Jet are blocked.
Ok to test for number 1 try the following OUTSIDE and AWAY from all possible sources of ignition.
Fill the fuel bottle approx 1/2 full with your fuel of choice.
Screw in the pump unit and make sure the fuel supply valve is closed.
Give the bottle about 5 -10 pumps no more.
Leave it for 5 minutes then unscrew the pump unit. If the pump is making and holding pressure there should be a reasonable hiss when you unscrew the pump ( this hiss is air and fuel hence you need to do this test outside and away from any source of ignition)
No Hiss?? Then you can say there is a problem with the pump either making or holding pressure. Follow the manual to service the pump and the Non Return Valve.
If the pump unit is making and holding pressure then it's possible either the fuel supply line or jet are blocked or the fuel filter is clogged. I'd start by removing the fuel filter and seeing if you can then get fuel out of the Jet ( you're opening both fuel valves right??) if this works then the fuel filter is the problem.
No fuel then remove the jet and see if it is blocked by holding it up to the light you should be able to see the jet orifice clearly a very small hole.. No hole then the jet is blocked try blowing through it ( don't be tempted to stick a pin through it you'll just open up the hole and the jet will then be oversize and the stove won't run correctly. Get yourself a service kit and replace the jet.
Jet orifice ok and still no fuel then it's likely the stove valve is clogged follow the manual to unclog it by removing the deposits that build up inside the valve ( unleaded is bad for this on stoves with a valve at the burner such as the Dragonfly and Primus Omnifuel Shewie gets away with it in his Whisperlite casue that has the valve at the bottle but cannot simmer very well....)
Hope the above helps... If your stuck post it to me and I'll fix it...