Hi GiskardReventlov,
As beginner you shouldn't worry too much about the inside of the scope (for calibration or repair you need a little more knowledge and tools), but it is good to always take the front cover on if you don't use it and keep it clean. Not much to do.
If you don't use it for longer, there can be some corrosion or bad connection inside the pots/knobs/switches, so you should use it from time to time to keep it working (or at least turn the knobs...this may be the reason why your knobs are a bit stiffy).
For the Mega8 I build the programmer cable myself. It was basically a parrallel port (printer...) cable with some resistors in the right places going to the programmig pins of the MC.
Very basic but it works. But you can buy a cheap Atmel programmer (or programmer cable). This may be better for your need.
I mainly used Bascom and for some software communicating with the MC I used also Delphi (I think the last I have is Delphi 2006) to make some PC software for this .
But with a modern windows system and the missing COM and LPT ports on a computer it is nowdays not as easy as it was some years ago.
But If you use an Arduino it's easy with the USB connection.
For the basic "Hello World" application which is in MC world a blinking LED, you don't need more than the Atmel (ATMega/ATTiny), the programmer (or cable), 9V battery, a voltage regulator (5V - like 7805, and maybe 1 or 2 additional caps - but you don't need), a resistor and the LED and something you mount this (breadboard or PCB). Not many parts - simple made.
Could you post an image, how you connected the scope to the cable?
That your old headphone cable didn't work may be a problem with the cheap headphone cable and not your fault. I once cut some headphone cable (needed it for some application) but couldn't solder it because it was crap. Problem is, you might not get the GND contact
(shielding), only the left and right channel signal line (
you need to probe one channel signal and the crocodile clip to the GND, not booth the channels). So there are 3 wires inside for stereo and 2 wires for mono. Try to probe
the cable with your DMM, which contact of the plug goes to the end of each wire. My recommendation would be, take a piece of 2 wire cable and a 3.5mm plug and make yourself a cable. Cut an audio patch cable may also be ok (may be of higher quality), but I don't have one to try.
The long headphone cable works like an antenna that picks up the 50/60Hz line frequency, thats the reason why you see this signal.
Good luck