Teleport

Here is a snippet of my funny conversation to a random Korean through Facebook. Can you help me fully translate what she is saying and please correct my Korean. Thanks in advance.

Note: Do Min Joon is a character from the drama You Who Came From The Star.

She:
와
저도가고싶네요ㅠㅠ (I want to go there)
엉엉
시차많이나지않나요?

Me:
가세요.. (Please go)

She:
ㅋㅋㅋ넹..→←

Me:
도민준 알아요? (Do you know Do Min Joon?)

She:
알죠~ㅋㅋ (I know)

Me:
텔레포트 (Teleport)

She:
드라마주인공이잖아요ㅋㅋ! (He is a lead character from a drama)

Me:
예 (Yes)
텔레포트.. (Teleport..)

/I'm jokingly asking her to teleport to get here.

She:
텔레포트
?

/She didn't seem to understand

Me:
매직 (Magic)
도민준 기술 (Do Min Joon's Skill)

/I don't know how to explain teleportation.

She:
아!
저그드라마안봐서엉엉ㅜㅜ
그게에서도유명한가봐요ㅋㅋ

/I can't fully understand.

Me:
네 .. 유명한 (Yes, very popular)
전지현 (Jun Ji Hyun) /actress

She:
ㅋㅋㅋ전지현완전이쁘죠~ (Jun Ji Hyun is very beautiful)
거긴몇시예요?
여긴12시다되가요ㅜㅜ (It's already 12:00 here)
새벽! (Midnight!)

Me:
자야겠다? (Are you going to sleep?)

She:
ㅜㅜ
사실피곤해요 (The truth is, I'm already sleepy/tired)

Me:
Ooh you should sleep now.

She:
Yeapㅠㅠ
I feel exhausted today ㅜᆞ

Me:
시간을 주셔서 너무 감사합니다 (Thank you for your time)
잘자 (Sleep well)

She:
ㅋㅋㅋㅋㅋ아니예요~감사하긴요ㅎㅎ (No, it's okay. Thank you too)
See you later~:)^^

다음에시간되면메시지또해요~:)@ [Please translate this one] ->다음에-Next 시간-time 되-I think this is a particle meaning 'behind' 면-Maybe a counter 메시지-message. I m not sure about the rest. Google translated it as; next time I'm also the message. Maybe it means 'Next time I'll message you.' or something like that.

Me:
네! (Yeah!)
고마워 (Thank you)
Bye.

She:
넹^~^@