is the amp too powerful..and would it hurt or damage my speakers?

Yup that same 2-18 watt SET, built with keeping your speakers safe (in mind) can be the worst.

When an owner  thinks "WHAT can that little sucker do?".. BUT not have some of those GREAT safeguards built in.  Answer: Burn everything up.. Overheating... and more so because, people tend to PUSH, the mighty "FLEA". There are a lot of good designs, vigilance is always your best friend but fuses no matter the design, still aren't fast enough for some driver/amp failure, no matter the reason.

Regards

It’s clipping from running an amplifier that’s not powerful enough for the load that damages speakers.
Its more than just the power rating you need to understand, as some manufacturers use peak measurements for RMS values. Look for a well designed, shielded and sized PS. It’s the foundation for any great sounding system.

More power is welcomed, driving at full blast is not in either case. Underpower you burn the tweeters, overpower you burn xovers and woofers.
G