MBB vs BB vs HF

Hi, I'm South Korean student attending semi target school. I'm in difficult situations at the moment, and need a professional advice.

I'm now at Korea because of mandatory military service I will start in next spring or summer. I won't be in school at the fall, thought it would be better to do internship here in Asia rather than going school, since I have appropriate excuse (Military). And here's the situation.

I applied JP Morgan IBD in Korea 6 months contract positions, waiting response, UBS equity research position and already have an offer from BCG RA position. (All in South Korea). Additionally, I met one of head trader at top hedge fund, and she's asking one of offices in Asia where they can take me as an intern.

Time plot of these opportunities are really getting me super confused. First, BCG intern would only last for 2 months by end of October, since it's project based. If I get through all of interviews at UBS, they want intern to start work from October 4th, and I believe JP Morgan would be similar. If I cannot get HF in Asia, it would be better to go either JPM or UBS rather than BCG. Best would be joining HF after BCG but not so sure about HF just really annoys me a lot. What would you do?

And I think HF would understand and won't put me in pressure, but if I have to leave BCG early because HF wants to start earlier, is it appropriate to ask excuse to BCG and leave there?

Thanks in advance.