When you get to rank 3 you begin to get weapons and other stuff. I got from rank 3 to 4 just by using armour/weapon cores and other tokens from yr 1 poe And a tip to rank up quicker with house judgement go back and play the 32, 34 and 35 poe from year 1. Playing them all will give you an extra 1000 reputation towards house judgement and you'll get 2 weapon and armour cores which you can use to further boost your reputation.