Hi Adhya,
The datasheet specifies that it can measure currents down to 100 mA. It might be possible to measure lower current than that, it will depend on your exact setup.
If you can wrap the wire several times around the core then that will multiply the magnetic flux and therefore the measured current, allowing you to measure lower currents.
There's also the question of noise of the probe + oscilloscope, but I won't get into that discussion there as it's likely unnecessary.
For the voltage 10x probe, it will depend on the exact model number of the probe you're using. The easiest technique would be to simply plug in the probe, set the scope to the settings you want (enable HighRes and a bandwidth filter for best results), and see what the noise floor, this will tell you low you can usefully measure.