Käännös - Englanti-Hindi - I hope your presentation goes well today!

A girl would be more likely to use तुम्हारा instead of आपका for her boyfriend as the former is more casual. And I guess 'presentation' here means a presentation in a seminar etc. In that case प्रदर्शन would be more appropriate, even though not exact.

Yes. The explanation is correct for तुम्हारा & आपका

ahem...would you remove the ambigiousity and be clear which one you said as correct?

both are correct of course, I was just hinting about the casual usage. Of course, not as if gf's don't use आपका for their bf.