A few hints to help you on your way.

The PSU MUST be to spec, check this FIRST. Use a DMM on AC mV for a quick ripple check.
The Ch 2 problem, attenuator contacts, attenuation/divider resistors.
You may need a second scope to follow the signal path to find faults, but not always. Keep reading.
Waveform falling away at end of sweep.
Might be vertical output stage or sweep linearity, too early to tell for sure.
You'll notice DC voltages on the schematics, they can be very helpfull in the absence of more advanced test gear than your DMM.
For these voltages to have any meaning the scope usually must be set to specified settings. RTFM.

Print the schematic pages and overlay/tape them together if needed.
Sort ONE problem at a time, step by step as they say.