Just to add on to what Amelia corrected,

"My high school friend came to Daejeon to play with me." 
 

And in english speaking countries,  노래방 --> Karaoke

I would rephrase your last paragraph into:
Finally We drank and ate 'Golbaengi Muchim'. We got a little bit drunk. Finally, we went to karaoke / we went to sing some karaoke.

Today, I had so much fun. / Today was fun and I was so happy. I love my friends!

150729

My high school friend came Daejeon to play with me. First, we ate lunch in 주물럭부루스. Jumulleok is spicy but so delicious and addictive. And we gone cafe Then we went to a cafe and ate strawberry bingsu and coffee. We are were stuffed.
Then, we watched a movie in CGV. this day Today is culture day of CGV. Consquently, the price of watching a movie is 5000won. We are were lucky. We watched Minions. Minions are so cute and funny.
Finally, we drunk drank with Golbaengi muchim. We are were a little bit drunk. And we gone went to Singing Room.
Today, I'm so fun and happy. I love my friends!

   fun is not an emocion. You can say "today was fun" but you cannot say "I was fun"