You need to see specifications of both amp and speaker, though you didn't provided much info you can use around 300W to 400W speakers whichever is available.
All car speakers will go well with a 500 Watt amp, but for the best effect, get a power subwoofer.
In most cases, the speakers should be able to handle more watts than the amp can deliver. Doing it the other way around will blow out the speakers.
no you wont get a 5000 watt amp and u will be fine
yes
Yes it should be all right. Ratings for amp/speakers are approximate but as a rule it is preferable for the speaker to be rated higher than the amp.
Absolutely!! If you turn up the gain too much, the speakers will smoke. You can use it at a lower level
sure you can, your amp will only deliver 52 watts to the speaker, more importend would be the impedance of the speaker . it should be equal to what your amp has! may be 8 ohms
can a 500 watt solar panel run a 500 watt appliance with 2 102 amp deep cycle batteries
Not unless the speakers are rated at a resistance (ohms) that is incompatible with the amp. Speakers don't generate power, the rating only tells you how much they can handle. So, speakers capable of up to 270 watts, can certainly handle 125 watts. However, if the amp is not 1-ohm stable and the speakers are 1-ohm, you could cause the amp to cut out and overheat depending on the protection mechanism of the amp.
Yes, but the amp is too powerful and if turned up to full volume will blow the speakers.
1000W will be suitable. See the specifications of speaker.
A 5 Watt amp powers the 4" inch integrated speakers. Distortion is estimated at 0.3% @ 1 Watt frequency response.