Assume cold water tank feeds the hot water and non-mains cold taps?
If none of the cold or hot taps work that are fed from the tank rather than direct from the mains then the ballcock for the cold tank may have stuck shut. Mine does this fairly often. If it’s easy enough could be worth checking the cold tank has water in it?
Normally this can be sorted by running a cold water tap that is directly off the mains at full flow for a couple of seconds (normally the kitchen tap) and then turning it off as quickly as possible to cause “water hammer”, repeat 3 or 4 times and this will often cause the ballcock for the cold tank to start flowing again. Wait 10 minutes for the cold and hot tanks to refill and you should be golden.