I'm a 22 yo uni student, and I just had an appointment with my GP to discuss the mental problems I've been facing for the past months (the isolation due to the covid measures probably made my 'sensitive' mental health evolve into a full-swing depression and social anxiety). It took me a while to realize I'm struggling and even more to put my pride aside and seek professional help. 

Basicly I've lost the interest and energy to do pretty much anything (as a uni student I keep procrastinating papers, studying for exams, etc). I wake up tired and I go to bed tired, and all I've been doing for the past few months was gaming, netflix and sleeping. I don't have mood swings, nor suicidal thoughts, but my overall mood is just plain passive without any feelings of joy with whatever I do. I'm also easily irritated when people I love (such as girlfriend, friends, parents, sisters) ask me something.

Aside from that I also think I'm suffering from quite severe social phobia. I have a slight stutter that over the past months has transformed into a quite severe stutter, which I blame as both cause and result of this social anxiety. Online classes have become a nightmare because once I have to start talking the anxiety takes total control of my body. Also I've lost a complete will to even meet friends. I always used to be quite socially 'attentive' (cuz of my stutter), but something like this I've never experienced. I'm pretty much anxious 24/7 cuz I became so extremely afraid of having to do presentations, or just speaking to people I dont know, etc 

My GP has given me a Beck Depression Inventory questionnaire that she wants me to fill in by friday (when I have the next appointment to see if I need more specialised help or so). I just got a score of 22, which (according to dr. internet) coincides with a mild/moderate depression. 

So are there people here who just like me seemed to suffer from both depression and social anxiety (and most ideally with a stutter) and were treated succesfully (by medication)?   
A friend of mine who studies medicine said paroxetine would probably my best bet, so I'm certainly gonna bring that up.   
At the moment I'm not interested in psychotherapy, but certainly considering it at a later moment (if medication should not help enough).

Thank you