No and no. Close though.
Okay, here's the explanation for the last riddle:
The colder times are best.
For I become stronger then all the rest.
"Its magnetism is stronger in cold seasons." They are stronger magnets then any other during cold seasons.
Those foolish humans carry around those lockets.
Why carry them when they can carry me in their pockets.
Compasses are kind of like lockets, in fact some of them look just like lockets. The whole pocket thing is kind of trying to lead you away from the answer. Normally, you would think that the Pokemon in the riddle would be one that is small enough to fit in your pocket. However, Pokemon are Pocket Monsters, thus any one of them can fit in your pocket (I'm surprised nobody figured this out).
I attract my prey, in a very odd way.
My prey must be tough to be attracted that way.
"It feeds on prey that is pulled in by the force." Since it pulls in thing with magnetism you can assume that it eats metal, which is tough.
Thought once to stay but found to move a little each day.
But mustn't I move to travel with my master every day?
"Nosepass had been said to be completely unmoving,... ...However, close observation has revealed that the Pokémon actually moves by a little over 3/8 of an inch every year." If Nosepass is completely unmoving then how can it travel with a trainer or even do attacks.
I am unique in the way of traps.
If you are weak against my forces you are stuck.
Magnet Pull Ability. By being weak against his forces I meant that they must be steel type to get stuck.
But my kind alone can repel against my stunt.
In fact, my kind must make 0
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"If two of these Pokémon meet, they cannot turn their faces to each other when they are close because their magnetic noses repel one another." Also, Nosepass are the only one's with this ability that aren't steel type. Also, Nosepass make zero shaped footprints.
I haven't been around long but long enough to know,
that you don't usually progress with such reasons in tow.
Nosepass is a third generation Pokemon and thus hasn't been around that long. It evolves by leveling up at Mt. Coronet which is a very unusual evolution progress.
I am pure, and I am holy, but don't misunderstand,
I'm only good at guiding you to who I am.
It's a pure rock type. It has several holes in it. And it's a compass, so, guiding would be it's main function.