You're really going to be pushing it on 2 cords. I've got around 2800 sq. ft. here and I use on average around 7 cord a year, give or take......that's going 24/7, pretty much from mid October right up into May.....
18-20%, if that is on a freshly re-split piece, isn't too bad, but it's not optimal either. That would suffice getting you through this year, but you want to make sure you check your flue and cap frequently (you should do this regardless, being a newbie wood burner) until you know the characteristics of your stove, flue, wood, etc....
I think you'll be fine burning the 18-20% stuff this winter, but try to get three years ahead. You'll hear us saying this all of the time on here, and you'll thank us for doing it eventually.....
I was in your shoes not so long ago....now I'm sitting on 30 cord of wood, at over 4 years ahead! I never have to worry about my wood being seasoned, it has plenty of time to do so......
And in regards to covering, you only want to TOP COVER the wood....don't cover the sides as it cannot get air if you do that.....
