when taxi radios set the alarm off it is either a fault in the coax or the antenna has not been swr properly or the power is more than it should be , I used to have it but only of one taxi I stopped him one day and asked to see his radio set up and he had a coil in the coax because it was too long , I suggested that he take the coil out and spread the coax around the boot as it was nothing more than a inductor and his range or transmit and receive would be reduced , he did spread the coax out by the next time he came round this way , and knocked and thanked me for the info as now he was able to hear the base station a longer distance away and was able to get back to them. But as for the disco fob opening your rear window is possible as said you should have tried your remote fob on his.