If I'm confused and I've been going over this since September really and thought it had sorted itself out - I did give permission already for LA to contact Council to discuss what has gone wrong, gave permission for things to be sent via email, but LA said can never get through to council and no direct number it's a call centre type thing, she says emails are not replied to. And then I ring council and get told so and so (the arrears paid aren't the correct amount as they cover a lesser period than she has written, so it is always behind, nothing missing it's the way it's calculated on both sides seems to be different, I try to get in writing and get nothing, so it's word of mouth), and then told something else by LA, and feel like it's just out of my hands.
She says she has 2 other benefit tenants who have rent paid by same council 4 weeks in arrears and they do not have this issue with them so it's not the 4 weeks arrears.
I'm going to try and get council tomorrow to show me a breakdown of exactly what has been paid, what date, and what the amount covers from X date to Y date. I asked for this last time and was told they couldn't show me it as it was confidential (surely that can't be right, I need something to show LA so it can be worked out), but they said that even the first arrears of £200~ is only because the LA thinks they should have paid right up to a certain date, but again they say they paid less amount as they paid for an earlier time period, shorter than she was expecting... And again with the next one. They say it works out on their end and they have this all the time with landlords. Trying to fob me off because they made a mistake? Idk
I just need a rental statement from the council to compare... Or ask them to directly email the info to LA.
Here is the tenancy stating 4 weeks rent. It says "NIL" on deposit because the deposit from the previous property from same landlord just got "transferred" as the deposit for this property, but then the landlord claimed that back at a later date for the month he received no rent in previous property when HB stopped paying (the deposit covered it so no debt there I swear) - one thing though, even though we had moved address via him, when he claimed for my deposit the mail I was supposed to get to be able to challenge the decision (not that I would have) was sent to the old property in another borough, I didn't go back and get the mail until the date for fighting it had passed (and the reason they stopped paying was because landlord wasn't providing me with a rental agreement to show them at the time so they ended the claim, it was very complicated, but I ended up losing my coubtil tax reduction to and I had to borrow hundreds off family to pay it when it was supposed to be covered with my HB) 
sorry that's unrelated but it's just one problem after another it seems.