Police are appealing for witnesses to two incidents which took place on Monday evening in the Wragby and Horncastle area.
The rubbish bins were set on fire at Wragby Town Hall at around 9pm. A youth, wearing a in a white hoody, was seen leaving the scene.
In Horncastle, two vehicles parked on Mareham Road were damaged overnight by someone apparently using a key.
Anyone who witnessed anything suspicious should contact the police by calling 101.
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Weather for Horncastle
Thursday 23 May 2013
Temperature: 5 C to 9 C
Wind Speed: 26 mph
Wind direction: North west
Temperature: 5 C to 10 C
Wind Speed: 31 mph
Wind direction: North