WebView Unicode Support

mWebView.loadDataWithBaseURL(null, "தமிழில் கணினி", "text/html", "utf-8", null);
OR
WebSettings settings = mWebView.getSettings();
settings.setDefaultTextEncodingName("utf-8");

Load Image from URL

Use the following code to display the picture in ImageView,
URL url = new URL("http://www.vijaynetwork.com/vijay_top_logo.jpg");
Bitmap bmp = BitmapFactory.decodeStream(url.openConnection().getInputStream());
imageView.setImageBitmap(bmp);