Hi, 
 

According to the website, I have all that's needed to apply and to be accepted. From my understanding, however, these are usually applied for in your home country (correct?), so I wonder if it would be any problems if my entry were from any of the aforementioned countries. Thanks

Applying for e-visas when outside home country has been discussed a few times. The official line is that it is not allowed. In practice, some have received them fine, some even while in Thailand for use after a border bounce. If you can afford to lose the visa application fee, you could try your luck and see what happens.