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Personally I'd go with the Les Paul or SG, but that's just me. They're all good guitars with decent pickups. Try them out at the guitar store and see which one feels best to you, and go with that one. Have them replace the strings or do it yourself, as the stock strings usually suck. Ernie Ball strings are an excellent choice! Make sure the guitar you buy looks nice to you. As was said by Mr Dave, you want a guitar that appeals to you- not the cheapest one.
Now, amps. I'd go with a Marshall.
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Thats perfectly loud. My guess is that you wont be playing gigs for a while, and so that amplifier would be perfectly loud.
Hope it all goes well, do tell what you ended up choosing- good luck!