Smart 451 doesn’t start anymore

Hello guys! I’m new here and hope I ask the question in the right area!? My Smart 451, Built ’07, 84 HP no longer starts. When I turn on the ignition, he starts to control the gearbox in the back (or whatever he does there), then he stops and it starts to beep (or whistle, is difficult to describe). When I try to start the engine, it clicks (as always) in the fuse box and somewhere in the engine range. It sounds like he continues to pull electricity and exert himself until it clicks again after a few seconds and this “effort” stops again! But unfortunately the engine doesn’t jump on. I already tried to find something out in the net, but unfortunately I didn’t get flush. Brake lights light, battery I removed and installed again, fuses are in order. I have photographed the part that beeps (or whistles). Maybe you can tell me 1. how this part is called and/or give a 2. tip, if/how can I fix the problem?