Don't assume eBay or Amazon purchased components are genuine.... Sounds like you've got fake
diodes. These days you have to go to reputable electronic suppliers for semiconductors.
You only need the pulse rating of the diode to be enough for an infrequently switched circuit, otherwise just make sure the current is rated for the inductor current, the voltage rating is well above the circuit voltage.
flyback or freewheel diodes should be sized to be able to carry the maximum current that the inductive load they're placed across can draw, because that's about the magnitude of the current spike it will have to take when the power is shut off.
You say your diodes are 1A, yet you linked to some 10A diodes. The 10A diodes you linked to will be fine with plenty of margin. 5A ones would also be fine, even 3A (though you never want to push a part right to the edge of it's specs, particularly voltage and current) 1A diodes would not be.
Also, 2A @ 36V? That is quite a solenoid!
(not flywheel diodes - a flywheel is something different and unrelated to electronics (though related to motors!) - but is a much more common word, so you can get away with blaming autocorrect for that)
The diodes only take a pulse, so the repetitive pulse rating is often good enough - depends on how often the
pulse happen - for PWM I'd use the continuous current rating.
But the first point is to establish if the diodes are genuine, which means only buying from reputable suppliers.
I am purchasing components from Amazon and probably got faulty parts. Being new with limited test equipment it is hard to determine if it is me or faulty components.