It is a very good idea to check and clean the grounds.
Two places to check:
1). The grounds that attach to the upper radiator core support, near the headlamps. Very Important.
These are the grounds for the drivers in the PCM.
2). There is also a ground inside the dash.
On 1st gen Neons, this is behind the radio. I don't know about the 2nd gen Neons, but I assume it is the same.
For the grounds - Be sure to wire brush and clean these down to bare metal
- Including the wire lugs/terminals and attaching screws.
After cleaning and re-attaching everything, be sure to use something as a rust inhibitor. At the very least, something like PB Blaster - Or coat these with dielectric grease, or Vaseline, to 'seal off' corrosion.
(Again, you'll only want to apply this after
Be sure to NOT operate any accessories with these grounds disconnected
. It may not be a bad idea, to disconnect the battery to prevent any accidents - Until you are done.
After cleaning the grounds on the upper radiator core support on our 2nd gen - I noticed that the dash cluster lights, were (noticeably) brighter.
I noticed the difference, even during daytime.
I know that this helps.