I have dabbled with Starting Strength 3x5 in the past, but 5/3/1 is the first powerlifting program I've seriously followed. I began it mid-way through 2011.
The Juggernaught method is another program which really interests me. But I have read Wendler saying he is developing a "year plan" for 5/3/1 which will include various hypertrophy, strength and power phases, so if it is ready for 2013 I will likely follow that.
You're a big dude! How tall? You are lucky to have a huge size to chisel down. I am desperately eating and lifting to try and get up to 100kgs at 182cm/6 foot haha.
I'm sure now your back issues are over, your deadlift and squat will fly up really fast, particularly as you strengthen your core and increase mobility, as these are key.