Doesn't matter if the ticket out is with another airline or destination as long as it is a ticket out. The airline can check you have a ticket out before boarding and so can immigration at the airport on arrival. A return ticket is not necessarily required, onwards ticket is fine.
Yes but the return ticket is supposed to be for 30 days and not 60 days. The airlines don't take into account the ability to extend for another 30 days. They want to see a flight out before the end of 30 days or 60 with a tourist visa.
As mentioned...30 day Visa exemption. then extend at immigration...2X copy of passport 1st page, departure card and entry stamp. Passport photos and proof of address(rental or letter from hotel or guarantor of where you are staying)