Will it charge any phone wirelessly?

Only phones with MagSafe or a magnetic ring, mainly iPhone 12 and later. Other Qi phones can charge on it but will not stick, and Android phones need a magnetic case or ring.

How many times can it recharge a phone?

Roughly one and a half to two full charges for a typical iPhone over wireless. Wired charging through USB-C gets closer to two to two and a half because less energy is lost as heat.

Does it come with a cable or charger?

Expect the power bank and a short USB-C cable in the box. A wall charger is usually not included, so you need your own to recharge the pack.

Can I use it while it is charging the phone?

Yes, it works as a pass-through, but the pack gets warm and charging slows. For the fastest result, plug the phone into the USB-C port instead of using wireless.

Is it allowed in carry-on luggage?

Yes. At 10,000mAh, or about 37Wh, it is well under the 100Wh limit most airlines set for carry-on batteries. Keep it in the cabin, not checked baggage.