Year: 1992
Description of problem:
When I try to start him in the morning or when leaving work I turn the key to the right and can see the engine lights (red and orange ones on the bottom of the fuel gauge) come on and then a single click (I think this is the starter motor clicking) but nothing further and then the lights go out as well and do not come back on. I have been resolving this by getting my boyfriend out behind the car to give him a push start but I think I need a more permanent solution

Can anyone tell me what bits I should be checking to figure this out? The battery is brand new so I do not think it is that... and I have checked the fan belt and it seems pretty tight.
~ Lacuna