yeah get everything checked, i was running a Hifonics 1210d on my MK4 2003 jetta and it did fine (90 amp alt). Also for the big three, the chasis & engine block share the same ground connection, its located under the battery, there will be four screws under the battery you take those out and you will see where the ground is linked up. As said previously you must preform all parts of the big 3 if you want it to help you at all. but even then on 600 watts you shouldn't be getting that kind of voltage drop, let me know how the battery and alt test go.
If you need any other help with the big 3 just ask me, I just did it on my jetta a few days ago.