I'm no expert on his either but I found a couple of your answers already from playing around. I have a Flytouch 3 with Android 2.1.
It's easier to answer question 2 first: I assume you are talking about things on the home screen. If you hold your finger on the icon and wait a second tili the tablet vibrates slightly a trash can will appear on the right of the screen. Keep your finger on the icon ad drag it to the trash can. The icon will turn red, let it go and it should be gone. You can also use this metod to move icons to different places on the screen (other than to the trash can).
Question 1: Yeah mine had China on it when I first turned it on. Couldn't even find Australia on it let alone my city. I just removed it altogether as per above method. There are other Weather Widgets in the market for free. You might find one with your area in it.
As for Question 3 and Skype, sorry I haven't used it so I can't really give you any advice on that.