Oil sweat & rust on my 2025 z650

Need expert advice as i'm a bike noob.

Got my baby at 1km last year, and she now has about 2500km. I had the chain cleaned and lubed at 400km (first service after a year - was an exhibit i got a good deal on), and i did it myself at around 2000km finally, when it sounded like the chain was overly noisy, kinda rattling - i know i should have done it earlier but better late than never.

The thing is, since i did that and also had a training day, the rattling seems to have increased. So, today, a few 100 km later, i got a weird burn smell while riding, and when we got home, i decided to take a look, and i saw plenty of black oil in various places.

On the pics you can see a couple close-ups of the chain, the actual colour of the engine oil in the oil-check window (for lack of a better word), and various spots mainly taken from the left side of the bike showing oil stains. Are these the result of using an excessive amount of lube? The fact that a lot of the oil is centered around screws makes me think it may be engine oil coming through as the seals may be bad or the screws not tight enough.

A couple pics also show rust on the exhaust and stand - it did see rain a couple of times last summer but none this year since the 1-year servicing. Is that nornal? What to do about it?

Please enlighten me :)