Error messages when trying to upgrade

I’m new to this forum so please excuse me should I be posting that has already been posted. I run 3 blogs (1 Japanese and 2 English). I’m having no problem with a Japanese blog hosted on another site but am having the following problems with the English blog at http://blog.st-john.or.jp/ewordpress/. Firstly, I can’t seem to upgrade from version 3.7.1 to 3.9.1. I keep getting error messages.
e.g.

1.
Downloading update from http://downloads.wordpress.org/release/wordpress-3.9.1-new-bundled.zip…
Download failed.: There are no HTTP transports available which can complete the requested request.
Installation Failed

2. I also see that the WordPress Blog and Other WordPress News are also returning the same error:
There are no HTTP transports available which can complete the requested request.

3. Lastly when I try to insert an image on my blog I can’t. Didn’t have this problem doing the exact same thing on my Japanese blog on a different site: http://st-johns-congregation.com/Japanese_blog/?p=354

The blog causing the problem is:
http://blog.st-john.or.jp/ewordpress/

I have tried:
deleting browser cache
deactivating plugins without any success.
Can you please suggest what my next steps should be please?

Thanking you,
Mitaka27