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Ok, let's take a look at this;
Back draft is caused by a fire losing its oxygen to burn properly, then once the oxygen is introduced, it can explode.
To prevent back draft on your fireplace, you just make sure that you have a chase to allow oxygen to get to the fire.
If you have an older fireplace, some chases (if they even have one) is outside, this causes heat loss. One solution is to move the chase inside and to vent it to the interior so warm air can circulate (middle).
The damper needs to be open to help create a draft.
My fireplace is open, so mainly all I need to do is open the damper and leave my glass doors open, this allows the fire to breath
If you need more help Let me know
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The only thing you can really do is check the damper to make sure it is open full; also you might want to make sure that the chimney is clear of bird nests, and obstructions.
If the front is open, that is should give you plenty of air.
Also, if the wood is green or wet, it will smoke more then normal, you will need to mix it with dryer wood if you plan to burn it wet or green.
Well that can be tricky, it will be dark colored not really light.
it should be older then 6 months, this should be dry enough,
you can test my theory by going to walmart and buying a couple of there wrapped logs. If you don't get the smoke it is wet.