Hello

I have a 10 years green card and would like to travel out of the US. (Malaysia, Singapore, India... )

1) Do I need to apply for re-entry permit ?
2) How can I apply the US Passport for green card?
3) Do I need to have a Malaysia Passport since I was born in Malaysia and came to the US by F1 Visa and H2-B Visa after all I got my Green card through my Company.
4) I came to the US for more than 10 years and I became Permanent Resident more than a year a go. Can I be able to apply for the US Citizen Ship?
Thank you

1) Do I need to apply for re-entry permit ?

No if you are planning just a vacation or any trip shorter than 6 months.

2) How can I apply the US Passport for green card?

You cannot get US passport... you must become US citizen first.

3) Do I need to have a Malaysia Passport since I was born in Malaysia and came to the US by F1 Visa and H2-B Visa after all I got my Green card through my Company.

Yes..

4) I came to the US for more than 10 years and I became Permanent Resident more than a year a go. Can I be able to apply for the US Citizen Ship?

You will be eligible to file for naturalization after having greencard for 5 years plus you must be in US more than 50% of the time.