Is the Epiphone LP Special II Les Paul Collection A step for me?

Two years ago I bought a silvertone value pack. (I didnt know if I was
gonna like guitar or not.)

http://www.amazon.com/Silvertone-SS11-Guitar-Package-Cobalt/dp/B0002D0HYO

Recently, I purchased a line 6 spider amp. And I want to get a better
guitar.

should I get this guitar:
http://www.amazon.com/Epiphone-Special-Collection-Electric-Guitar/dp/B0002CZUUG

Will it be better than my first?

I will be playing mainly punk rock, hard rock, and hard blues