Intermittent behaviour - understanding POST codes

My MBP has an intermittent behaviour and does not turn on most of the time. But when it does, another problem occurs - there is no image on the screen (already read about NVIDIA chip issue). I have taken the MBP to two authorized shops. The first one said they were able to reproduce the NVIDIA problem, but they did not have the diagnostics software to generate an authorization code for repairing under the recall. The second one said that the logic board is bad and needs replacement, even after I told them that the MBP sometimes turns on. To me they didn´t analyse the computer enough to get past the first problem.

Doing some diagnostics at home, without any memory the computer turns on and starts beeping periodically. When I stick one memory module back, the computer sometimes doesn´t start, and the front light blinks once. If I keep pressing the power button, the front light becomes bright, fades a little, blinks rapidly for about 1 second and then turns off.

If the computer boots successfully, I hear the startup chime and hear the hard drive working, but no video.

Intel-based PC´s have some POST (Power On Self Test) codes that indicate any hw problems during startup.

I would like to know if Apple notebooks have this as well (ex: blinking front light) and what they mean.

Regarding the intermittent behaviour and the NVIDIA issue, is it feasible to:

1. Open the MBP and reseat the connectors?

2. Apply the Do-It-Yourself reflow technique (turn computer on and wrap in quilt for 1-2hrs)?

thank you,