GybMCN

Hi everyone, I’m reaching out for help with some issues regarding my Skoda Octavia 2021 2.0TDI DSG 106HP. The first problem is that I can hear and feel the gear shifts through the accelerator pedal, but only when the car is cold right after I start driving; this issue appeared quite recently. The second problem which I’ve searched for all over the internet is that the engine revs up on its own. When I lift my foot off the accelerator and move it to the brake pedal (without actually pressing the brake), the engine revs up slightly, going from 1,000 to 2,000–2,500 RPM. It’s a strange issue, and I can't find any other way to describe it. Another issue is that a metallic rattling sound is heard when shifting from 3rd to 4th gear; I haven't been able to figure out what it is, either. And the last problem is a metallic sound I hear when reversing with the steering wheel turned all the way. Based on my research, I suspect it might be the brake pads. Thank you for your time, and I hope you can help me.