czech, hello and welcome to the forum.
it's nice to see you're using bits of vero on your pots. not many do. but, you must not have any exposed wires running about yr insides, it will case problems. insulate all of those led/resistor wires.
the schematic you linked to is not a schematic, it is a layout. the layout is for the building, but the circuit diagram is for the telling of what voltage will appear on what part. if you can find the circuit, PLEASE, post it here. many of us don't/won't try and read vero. and, not to be picky, but that page shows a "version 1" and a "V1". it doesn't matter, but we need to be accurate.
pin numbering. your ic voltages are off, and the ones that are "right" appear in the "wrong" places. from your first image: pin1 of the IC is top left, as indicated by the circle indent on the IC. count 1-4 down the left side, then pin 5 is bottom right. pins 5-8 from bottom to top. so, you should have "0V" on pin 4, and "+V" (9V? 8.5V? 10.2V? it will vary with battery) on pin 8, not pin 5. and, pin 3 is connected to a 470k resistor, connected to a Vref divider. this means you should have close to 1/2 of your "V+" on pin 3. find out why you don't have V/2 along these couple parts, you'll be well on the way to fixxe.
what type # mosfets are you using?
good luck. let us know if you have more trubble.
