Download this map that i had found online, it shows all transport routes.
There seems to be no direct transport from Gotemba to Shinjuku, u will need to head to hakone-yumoto or odawara then to Shinjuku. You can google for each transport timings, which i also did for certain transport lines.
Also, i wanna ask should i head anti-clockwise or clockwise, at which part can i consider going to Gotemba? Seems like the best is directly from Yumoto to Gotemba then take bus "M" to Gora station for anti-clockwise tour? Or even for clockwise, i should transfer to Gotemba from Gora station?
Also, i should be looking at Gotemba premium outlet instead of Gotemba station?