That should be the case, although I think FB is a bit hit and miss.
Just noticed that you are opening most links from gmail.
Try clearing defaults in the gmail application. That may help.
As to flash its slowly dying and most of the browsers no longer support it. Even skyfire (which was optimised for video) has finally abandoned it. The only way round that is to find an old apk for your browser of choice and install that. Then never update.
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ROM Sotmax Ultimate V18