My first year burning was spent splitting the wood smaller, and stacking it all around the stove to get it dry enough to burn. It would burn good with the door open, but like your experience, would choke out when I tried to close the door. It might be that your wood is too wet, but one thing I found with my stove, is that it likes everything in stages. I close the door in stages, and I cut the air back in stages.
Once the fire is going, I close the door without latching it, then I close the latch just a bit, then all the way, then I start cutting the air back in about 4-5 stages. The amount of time between the stages will depend on your stove, and you will get a feel for what the fire is telling you to do for it.
Good luck with your stove, and if you can't get some good dry wood, you might want to consider splitting your current wood down more, and hoping for some good drying.
Adam
PS. One thing I just remembered about my first season with not so perfect wood. When the fire is finally going, don't wait until you are way burned down before reloading. Put the new logs in the stove one at a time, and let them get going before adding the next. This will let your established fire dry the wood out for you, while still giving you heat, and not smothering your fire/coals.