It may not be full blown, partake every-day addiction right now but you're well on the way to it, and have a serious problem. Drinking alone is a sign of either addiction or impending addiction also, within reason. Save the occasional beer or something after work, one does not normally drink vodka on their own in any decent amounts. You're already craving prescription drugs or vodka in-between your occasional bouts of them. Being unable to say no is a huge sign that there's a problem. For example, I'm trying to eat clean in preparation for a tournament where I have to make a certain weight. Do I crave burgers and chocolate, you bet I do! Can I go into a store or walk past a fast food joint without buying either? Yup! You no longer have the ability to say no according to your post. If you see it, you must have it. And that's a very real problem.
Are you aware that the weekly limit for alcohol is 14 units a week with no more than 3 units a day? Just one shot of vodka around 25ml (if it's around 37-40% which many are) is 1 unit. So strictly speaking you shouldn't have more than three of those shots in one day. Are you drinking more than this? Does you weekly amount exceed 14 units? If either are correct you could well be damaging your liver. And that's without even getting to the Klonopins. They're addictive and lead to dependence very easily. It's dangerous to prescribe them for 4 weeks or more. You develop a tolerance each time you take them by minimising the receptors that bind with it which means that you end up needing more to get a buzz and then if you don't get them you can go into withdrawal which can be bad enough to cause seizures. Long term use can also lead to depression, or worsening depression if already present.
You should talk to you mum and/or seek professional help. It's dangerous to take illegal substances or alcohol to ease dysphoria. For one, alcohol is one of the worst things you could take because alcohol is actually a depressant! And like I said, long term use of Klonopins can lead to depression itself, without the added issue of your dysphoria. What you're going through is definitely not uncommon but you've made the first step by addressing it. Even just in questioning whether it's an addiction is your brain admitting there's a problem; if you didn't have a problem, you wouldn't need to ask if you had an addiction.
Please seek some professional help, and best of luck!