Desperate for a good guidance

Hello

I am currently in French Grandes Ecoles and I'm 23 yo Korean married with French(no baby btw)

I would like to know if I am taking the right path to get into a well-paying job.

So, I am in the Gap year and I will start my second internship(6 months) this December in an Asset Management boutique firm(Relatively Small) which I chose over a Middle office role at Credit Suisse.

I did a shitty internship(Accounting&Finance in my father's friend's office) in Korea for six months since my internship(Corporate Finance) was canceled due to Confinement(Lockdown)

I found this internship thanks to a French friend who's working there.

So, my job description is

• Managing a $6Million portfolio by myself(pretty much)

• Trading

• Tracking performances of funds

• Offer a new view of the Asian market

I have GMAT of 690(Q:49 V:35) which I took only once in my life.

Also, supposed to take CFA LEVEL I in June 2020 which is canceled, so I will sit the exam in May 2021.

Ideal path would be => Study in Frane and Germany(Pass till CFA LEVEL ll) -> Yale MMS in Asset management(STEM eligible)(Passs CFA LEVEL lll) -> Work in US -> Work in Asia(Hongkong, Singapore) -> MBA(M7 or INSEAD) 

My questions are

1. What should I do more to get into Yale SOM MMS in Asset Management? Higher GMAT?

2. For the second year, I would like to go for one year exchange to Germany(WHU or HHL or Frankfurt School of Finance and Management -> Depends on my situation tho), however, I'm not so sure If I should go to LSE(Diploma in Acco&Fin Double Degree wtf) since I am thinking about spending one year at Yale after this.

3. Is there any other school as prestigious as much as Yale SOM in MFin?(Haas, MIT, etc) Since my parents will gladly pay the tuition fee for the study in the "prestigious school".

4. Would it be hard to break into AM or IB after Yale or other Amercian programs?

Btw, I speak French quite fluently and I am learning German as well(freaking hard tho)

Thanks!