I moved into a new flat yesterday (though I've not spent much time there yet). It's in an old house, probably pre 1900, which has been seperated into 8 flats and I'm on the top level. It seems pretty warm but I spoke to the previous tenant a few days ago and he mentioned the bedroom does get very cold. There are fitted wardrobes and the back of them is the exterior wall, on which the previous tenant showed me has some mould/damp (not even sure the difference to be honest). He said that those walls seem to be very cold and he reckons that's the reason for the cold room, which sounds logical, so my idea was to insulate those walls. I've spoken to the landlord and she says the freeholder is organising repointing outside, so what I plan to do is use something to get rid of the mould, paint that wall with anti mould paint and then insulate it. Now I am far from an expert when it comes to DIY, but my plan was to buy some of this, cut it to size, attach it to the wall somehow and then put a piece of MDF in front. Since it's the back of the wardrobes, it doesn't matter if it doesn't look 100% perfect. The landlord said I can do whatever I want and she's happy to reimburse me, but she's a nice woman who just owns that flat so she's not loaded, so I don't want to make her pay loads.
Does that sound like a good idea? Will it help keep the room warmer? If she's happy to pay for it I'm thinking I may as well do it, but if it's not going to make any difference whatsoever then it might not be worth it. Also I'm not sure if attaching the insulation board directly to the wall is the correct way to do it, are you meant to leave a gap?
Thanks for any advice!

