It looks like the back of the neck is trash.
While, I do agree that you will get more guitar for your money used, when I was getting my 1st guitar I had no clue how to spot problem issues with a used guitar. I went new because I felt more comfortable that things would be right or could be addressed under warranty if necessary.
If you are not committed to Les Paul, the Strat that Napoleon posted is a great deal on a really good guitar. Spend a few bucks on a setup and you should be good for a long while. Spend your extra funds on a good modeling amp, cable, strap etc.
Of the Epiphone's I agree that this one is probably the best bang for the buck that you have listed. If you email Sweetwater, they should be a willing to do a bit better on the price than the website MSRP. This one also comes with a case. As you start dropping down the Epiphone or Fender line, the case disappears and you will end up having to add that in to your purchase as well.
https://www.sweetwater.com/store/detail/ENL59ADCNH--epiphone-1959-les-paul-standard-outfit-aged-dark-cherry-burst