What are the versions of these two PS2's?
 

Both of them are PAL.:
SCPH-30004R
SCPH-39004

Also, I have some blown fuses in my SCPH-30004R, I think they are the PS11 and possibly the chip BA...a bunch of numbers. I have a Neo 2.2. My PS2 turns on but there is only a black screen and no sound. The DVD-Rom drive has no response to the Eject command and doesn't try to read any discs. Can this be fixed?

You can check your versions here
How long have you had had a Neo 2.2 in your ps2? All Neo chips are known ps2 killers.

I have Neo 2.2 for about 1 year and half.
The link didn't work.

The link works fine.

Confirmation: Yes the Link works fine.