First issue that I see is that you are trying to fire a 0.3 ohm coil on a battery that you have NO specs on...
That being said, it should fire up right away... how much voltage is the battery putting out? Is is freshly charged? Are you sure that it is fully charged? It should read ~4.2V on a volt meter.
Also "should be getting around .3 ohms." is an insufficient measurement... what resistance does the meter say the coil resistance is?
*edit to add*
0.3 ohms will draw 14A... if your unknown battery is a 10A limit battery, then you are seriously risking that battery deciding to vent and potentially damage not only the battery, but your mod and bodily appendages as well.... but, you know... it's your face man...
This post is filled with more truth than most are willing to accept as reality.
I was an ET in the Navy... and have seen some truly effed up stuff happen with low-ohm high current applications... Please be careful!
I was an AT, myself... so, "Fair winds and following seas, Shipmate!"
I know exactly what you're talking about... and yes. Most people do not have a clue as to the potential danger they are putting themselves in with some of these set-ups...