The first thing that I see wrong is that for a PE+ that is more than 30 years old - it looks too clean inside.
On a serious note ....
The monitor could be bad but but having no static would tell me its not getting power
Starting with the basics - pull the fuses and check them with a multi-meter
- set the meter on ohms and touch the leads together - the needle will bounce over showing continuity, next touch the leads to each end of the fuse and it should do the same thing. No swing on the meter, no continuity = bad fuse.
On the PE+ the monitors slide in and out - big connector on the back.
you just transported this unit so it may have been jarred around a bit.
I would start by pulling the monitor and sliding it back in.
If the MPU battery is bad then the screen would display - Battery Low. Of course if the battery has leaked all over the MPU then there may be other issues other than the battery being end of life.
You have some lights on the side of the MPU - good sign - theoretically the game could play without a monitor, but if the coins are just falling through then my first thought is that there is no coin in the coin comparator on the door.
Post back.....