The flame control burners are rusted and not able to increseheat

many ovens are made to click like that and nothing is wrong with burner oven, its a safety measure to let you know gas is on or escaping. I f you turn the knob bac or forward a little bit it will go off and flame will still burn. Other words you may have a dirty spark igniter , see pics

I would check the gas pressure at the meter reg .It sounds like you are saying too much gas to burners

Remove the front panel to find where the gas injectors enter the burner tubes you will see they are cut away and have a screw holding an outer ring which is adjustable, open them up more to get more air in .

First of all, the model number is under the cooktop bottom, and secondly, this can happen due to the burner switches got wet somehow. Best thing to do is to unplug unit for 6-12 hours, allow to dry, then re-plug unit back in, this should be enough time to dry out the burner switches.
Good luck

I’m happy to help further over the phone at https://www.6ya.com/expert/gere_bf68e6055dd61249

Remove the knob and using a tester turn the screw inside to increase or decrease the flame.

Lowly what the potentior does is turn on the burner control system. When you turn on a normal burner you are opening a gas valve and closing a switch to generate a spark. Thus gas flow to the burner and spark. On the extra low simmer burner there is a electric solenoid between the burner head and the gas valve. this has to open as well for gas to flow. What the potentior does is signal the simmer control what level of flame you are requesting and telling the spark module to generate a spark. Once you go to the exlow setting the potentior tells the simmer control what level of heat and will cycle the flame on and off. So when the burner knob was between low and extra low, the flame would cycle on and off. You have to seperate the top section of the cooktop from the burner box to change the potentior for it sits on top of the gas valve for that burner.

you can adjust the flames as follows pull a knob and look in the end of the brass peice you will see a small screw first you have to find a screw driver that will fit then with a pair of pliers hold the outer peice with the burner on and turn the screw one way rasies other lowers ideal adj is to turn buner all the way up then fast down if flame goes out to low keep working like that till flame is low but doesnt go out

Remove the burner knobs, inside of each shaft is a straight slot screw adjustment, use a flshlight to see it. Sears has screwdrivers this small.While holding the shaft with a pair of pliers turn the screw in the shaft, it will be hard to turn, this is normal.
Continue doing this until you obtain the desired flame setting.

there is a bypass screw on each gas valve. adjust so flame is reasonable when each burner is turned to low

Most probably dirty jets. If water was spuilled, there is a possibility of rust forming on some parts. Low flames are usually due to inadequate gas supply, due to dirty jets and burners. Often rust forms on the top burners in the little holes, causing slight blockage - clean the holes with a needle properly and check. Oshie