Hi Sumitsubo,
The photo is of little use when it comes to diagnosing the potential problems but i have a few things.
Rule no1: We do not detect power overloading by testing if the power unit is hot. If its at that stage, pull the plug and run.
What i refer to is that the voltage can spike down when you activate a relay or may drag the voltage down to a level that does not cause the circuit to stop but will cause it to act erratically.
Having said that a power supply able to deliver 5 amps should be ok (assuming you are not drawing 5 amps).
The bread board that you are using is not ment for long term use. Eg. Trusting it beyond a couple of days is asking for it as the connections are made by pressing a wire contact between two metal plates that can loose their spring and corrode (not outdoor usable) leaving you with intermittents that break down more as you draw more current.
I also notice that you have the cables for the led lighting running right besides the bread board 10v rail. As the system is using PWM with voltages between 40 and 100 volts this will lead to what they call capacitive coupling between them causing a ripple on the 10v rail of up to 100v. This also goes for all the other wires.
When you set up a system it pays to arrange things so that all the cables that run either AC or Pulsing voltages at higher levels are physically seperated as much as possable or a grounded metal plate is fitted between them.
Any metal wire that carries a voltage that changes state will cause an electromagnetic field to form and collaps around it (a transmitter).
Any metal wire running in parallel with one or more of these wires will 'recieve' this field and convert it to a voltage.
Seperation is the first step, Shielding the second and filtering is the final thing you should attempt.
Daz