The most likely issue is an air lock in the cooling system. Revving the engine encourages it to move and a partial coolant circulation occurs. This explains the temperature variation in the hoses. The first thing to do is to bleed and top up the system using the 'official' procedure. You can easily locate it using the forum search system, or read the Haynes manual which contains the same info. When all the air's been eliminated, any further problem diagnosis will be a lot easier.
TC
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