Email them and say you expect inventory to have been done, they are supposed to do it in 10 days and if they haven't done it by x date you will have to raise a dispute. We had this issue but because it was over Christmas I didn't actually realise until 6 weeks down the line and I didn't know my rights at this point. They started with the whole, oh didn't get it saga which went on for a day before the inventory finally came in, it seemed reasonable £50 for garden work, fine we moved out and it was snowing we couldn't have done anything to the garden at the time, £20 here and there came to about £100 plus agents fee of £160 something, there was £20 I could of queried but £20 can you be bothered, it then said some damage to the kitchen flooring and they would get back to us with that... my email back was very specific and said I would pay for and itemised, but I needed to price of the flooring, I expected about £20-30....£770 😲 I wrote back diluting the price offered £150 to keep the process moving and was ignored, every email after this was ignored except to keep forwarding prices which increased eventually I said unless I hear I would raise a dispute to get and email which was dismissive as in whatevs. I raised the dispute and the floor price increased again during this process. Plus they sent us an email with an invoice address to us a few days before we had to have logged our issues saying the entire deposit would be sent via BACs to "your account" so we though they were going to pay all the money back... luckily I said to my husband it doesn't make sense they haven't even taken the estate agents fees out if we don't get the money by the finish date I am still logging it... oh forgot I emailed the letting agent to ask what the email meant and got after slightly too long a delay a "out of office" stating she was not working again until after the day after our deadline. Calling got the answer oh we don't deal with those I don't know what the invoice means.
So we put it in and I estimated with all the fees, what we had agreed to pay and the £150 goodwill gesture we would owe about £700 all told and worst came to worst we would only owe what they said we owed originally... we got the dispute back and everything including the estate agents fees came to about £450 the adjudicator even reduced the price of things we had said we would pay and had no issue with.
Some really important things are you only have 3 months to do this. It is a simple process you just need the number of you deposit certificate to tell you which scheme you are in. The process is amazingly easy and quick I think it was just a month from start to finish. You have nothing to lose. They will use dirty tricks, the three a women at confirmed were the playing the were not bothered Card, she said tenants only have this occasionally and they think the estate agent knows the system inside out so drop it in a crisis of confidence. The ramping up of the costs again to make the tenant think the estate agent know they will win so might as well ask for more. And the invoice makes people think the money is imminent so they don't complete the claim then when the money doesn't come they have not followed the process so can't go back.
But before you do this if you do have a dispute you need to try and rectify this first and give a time scale I didn't and it dragged on until I woke up. This went in my favour with the dispute as I did and they did not engage.
The report was interesting reading about how they decide the costs.
On addresses I used the letting agent address as I didn't know the land lords this did not seem to be a problem.
Good luck hope you don't have the same hassle as me. But the dispute service is a piece of piss especially in these days of email.