It's not a particularly "Jewish" behavior to binge drink, and it's not healthy in the long run either. But whether or not it is specifically forbidden to do it..... As Tzvi said, there is an issue of socially drinking with non Jews. But I mean, this is not like a foundation of Jewish practice. This is probably not one of the first things someone interested in spirituality should take on right away. I get the impression that you are not particularly observant but are interested. Asking a rabbi is always a good idea for any questions. But this is not something major like, say, beginning to keep Shabbat, or keeping kosher, or putting on tefillin. Those are kind of the basics that somebody should try and experience first, not driving oneself crazy with some of the smaller issues and stringencies. Those areas will come in time.
For instance your rabbi, if he knows you, or if you find one and explain the situation thoroughly and all the context about your interest in Jewish observance your background etc, might tell you something like, if this is the way you socialize, and your way of winding down after work, and you would have no contact with any friends or no way of interacting with people if you suddenly stopped completely and this would make you totally unhappy, then don't go out of your way to completely cut this out of your life. Maybe cut down on it a little bit, or not at all, or maybe take on something small first like saying shema or putting on tefillin to grow from there. If you start with something like cutting out the social drinking/bar scene and make a radical change without taking on the more meaningful stuff, it might drive you away from Judaism where you might have otherwise grown tremendously, or worse, it might drive you insane!
I would say talk to a rabbi. The bottom line is you need to find a Rav who will get to know you well and help you grow at a pace that is comfortable and sane.
Outside of the Jewish context, in my opinion, you really should consider cutting down on the number of drinks you have when you go out. In the long run that will be very unhealthy especially for the liver, and also the brain. Try having only a few drinks sometimes. It's just not a healthy lifestyle to binge drink like that all the time.