Can I suggest you reverse engineer your project and draw a schematic.
Hand drawn and photographed is perfectly acceptable.
Please include ALL hardware, power supplies, component names and pin labels.
Please do not use cut and paste or Fritzy imaging.
Can you please post a link to data/specs of your pump?
The problem is that you are powering the relay board from the Arduino 5V output. Might be OK for one relay but not for 2 or more.
You need a separate power supply for the relay board
Remove the yellow jumper.
Connect the Vcc pin the the arduino 5V.
Disconnect the relay GND from the Arduino GND
Connect the JD-Vcc pin to an external 5V supply
Connectet the external supply ground to the relay board ground(GND).
I am having a similar issue, I think there could be voltage spike problems. I can see that you get power from the relay module to Arduino and this could cause temporary spikes when relays are started taking away power from Arduino putting it the state you mentioned. I think you need to plan the activation like activating one pump after another instead of starting all of them at once. Or try powering Arduino from a different source than the relay module source and tie the grounds together. Problem could be more than meets the eye. I am just suggesting this as I have experienced these power problems often. Infact a right strategy can help you run the system with the given power. Also please check the battery power, a low powered battery can cause a lot of damage putting the machine in unknown states.
@jim-p it is only picture from shop where i bought this set. I tried connect Relay VCC to external power source and the result is same. After this i tried again connect Relay VCC to 5v on arduino and again result is same