engine start up and retractor light

[kawo]

I was suffering from engine no start since I got the car two months ago.

The previous owner said he changed a rebuild starter, so he suggests the problem is likely to caused by other electricity.

As I do not have any clue, but I found the fuse box looks extremely disgusting, so I replaced it.

The old fuse box


The new fuse box



Just after I installed the new fuse box, I could start the engine, but I found that the retractor light did not pop.

Light ON, no pop:


Beside replacing the fuse box here is more details:
1) Before replacing the box, the relay in GREEN circle is always generating heat, and it is no longer that hot in the new box, which I guess that solved the engine start problem(I hope...)

2) In the BLUE circle there is no RTR fuse in the new fuse box, which I believe the new fuse box was off a LEVIN, I put back the fuse, but the lights still don't pop...

3) the HEADLIGHT fuse in the old box is 15A vs 10A in the new box

4) I found one blue wire got loosen from the relay in RED circle, so I tried to plug it back



My questions:
a) Is the GREEN circle relay causing my engine start problem?
b) How could I fix the pop light?