Another beginner in need of advice

Im 21 years old and im a rock enthusiast. I love everything about electric guitars and Ive decided to buy one. At 11 years old my father bought me a Squire Fender Strat and a used amp and i took lessons for a year and a half, and stopped. I wasn't really good and only could perform small finger exercises well. I made my mind up on a guitar and i want a Epiphone Les Paul. I love the sound they put out, and i love that style so many great guitarists rocked over the past 5 decades. I hate to say it like this but i guess i like the "Slash" sound, even though im a diehard Perry and Crespo fan.

Here are my questions for the experts. im not very knowledgable on equipment and their performance.

Epiphone Les Paul Traditional Pro
Epiphone Les Paul Standard Pro
Epiphone Les Paul Tribute
Epiphone Les Paul Plus Pr
Epiphone Les Paul Studio
etc..
My budget is in the 600 area

What are the differences, which one would fit a beginner better most likely. What are coil taps on the models that come with it

I know many will say go to a music store and try some out but im starting from scratch and im unsure what to purchase.

Also how about an amp. Im totally clueless on amps. I understand the more money the better quality in most cases. Whats a medium priced amp that would go hand in hand with the les paul that has alot of features.

Lastly any advice on getting better. Im taking a shot in the dark on this one and didnt know if theres some great internet lessons, self exercises, or anything you can offer that can help me improve my capabilities.

Thanks everyone, im really interested and it's something i have my heart set on. Help me make my dreams come true