Hey guys,
I have a 1986 300zx turbo 2+2 up in Canada.  It's in great shape except for
a recent occurrence and a couple minor things.  I'd appreciate any
info/advice you can give me.

1.  I'm having trouble with the alternator I believe as I can't keep any
battery charged.  It is slowly discharging and I'm wondering if there's a
short somewhere or something.  I've put in a rebuilt alternator a few years
ago, and the car always seems to have issues with batteries/charging.  This
time, after storing for the winter, the following digital dash warning
lights have been incorrectly lit up:  Fuel, Brakes, Door Open, Radiator,
Lights, Windshield (was on before, not due to low washer fluid, stays on if
unplug tank), and of course the Battery charge light.  What is the likely
problem, and should I have someone look for a short?  How do you test the
electrical system on these cars?  Any ideas about alternators?

2.  When the key is turned to the "On" position, there is a buzzing sound
coming from the front right panel near the headlight, it's been there
forever, I don't know what it is.  The buzzing comes on, goes for a few
seconds, then comes back again.  

3.  There is a "ticking noise" that appears to be coming from the
speedometer or around there - I actually heard of this problem before, but
forget what the problem was or how to fix it.  

Thanks,
I really appreciate any help.
BT