I tried cleaning away a lot of the goo but nothing changed.There seems to be a lot of goo around pins 3-8 of the TDA1083 chip. If the goo has deteriorated with age it may be providing a conductive path between the pins.
Do you mean the three thin wires coming from near the chip and all going to the part with a ferrite core? Is this a transformer of some kind to amplify the signal from the aerial?The antenna wires are very delicate. Has one been damaged or become disconnected?