[Tannaton]

You need to deal with the issues one by one, but be minded they are likely related. I would leave the convertible top to last.

Start with the power and the dashboard lights, until you get the car powered up correctly and starting, little else matters...

As said already, check the battery, if that okay then check the earthing points in the engine bay (near the battery) and the positive connections, including to the alternator and starter.

The fuel pumps are very quiet on these, so I wouldn't be concerned you can't here it.

As our learned friend above said, the immobiliser can be an issue on these cars but that would result in cranking but non start - it wouldn't be the cause of no dashboard lights.