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Your rose needs a few things: A repot into a bigger pot, and rich, loamy soil. Bonemeal to restore phosphorus (that’s likely why it’s no longer flowering) Slow release rose fertilizer (can be found at gardening stores)
As for trimming, prune off unproductive or bare branches, and cut off dying flowers. I don’t judiciously prune my roses.
That’s just how cyclamen grow- they’re floppy plants. They like indirect light, so the lighting set up seems fine.