Stupid question but you replaced the plug but is the cord 15amp? Also your plugging it into a rated 15amp outlet?
Your looking at a minimum 2.5mm strands of copper wire for 15 amp.
Edit;
BM 50 specific details;
› Heating coil: 3,200W output › Pump: 2x9W › Power supply connection: 230V (fuse protection min. 16A) › Control system: fully automatic brewing control (temperature, time, pump) › Max. malt quantity: 13kg
Your just over 14 amps with just the element and pumps. (calc at 230V as most mains is below 240V solar ect)
Units protection is designed for 16amps - fuse.
I'm assuming the controller pulls bugger all.
Running this on a 15 amp circuit should be fine as your still under "mathematicaly" what it should be pulling.
If you house power is well below 230 then the amps begin to rise some more.