oil and temperature lights not going off - x reg peugeot 106 1.0L?

my 106 temperature light recently come on and will not go off, aswell as the oil light but oil level is fine. i checked my radiator level - was low but topped it up , bled the system and is still not going off. the fan also comes on after a few seconds of starting the engine and does not go off for a good while. i have checked all fuses , they are in working condition but will replace them all very soon. the wiring has also been checked and there are no loose plugs or wires. any other suggestions ?