Car makes clicking sound when battery is connected

[Prelude Guy]

Hi all,

I just picked up a 2002 Base Boxster. It's in pretty rough shape. The battery in it is dead. When I connect up my little jump starter/air compressor, all it does it makes a clicking sound coming from the left side of the driver's footwell area.

Is the speedometer supposed to light up as soon as the door is open?

The car's interior is pretty bad. Water has definitely been leaking into it. Wondering if this issue is related to the water entering the cabin.

Let me know your thoughts.

Also, is there a way to open the frunk using a button? I couldn't get it to open with the key remote.

Thanks!