Hamster Wheel: Is this okay?
Yeah that should be fine by the way if you are getting a wheel for inside the cage it's probably better getting one that actually attaches to the cage
A mesh wheel would be perfectly fine actually preferable to a plastic one, because it will be easier to clean.
Putting a blanket on any room heater is dangerous. It could overheat and start a fire.
Not until the blanket suddenly bursts into flames (which it will eventually), the oil heater explodes as a result, and you burn the house down! Why would you even want to DO something so (obviously) stupid dangerous?
ive seen hamsters and mice on wheels just like that at the pet store. i think they're ok