Did the RAZR HD come with Chrome already installed? If not, Browser might be Disabled in Manage Apps ~ All ~ Browser.
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For Whom The Bell Tolls...Time Marches On
Why not just try an earlier version of Dolphin, I have a backup of 9.3.2 which was an HD version, possibly a month or two old. Anyhow here is the link. BTW Chrome is the ONLY stock browser on JB 4.1.1 & 4.1.2. While on the topic of Dolphin, here is the version that installs Flash and here is the link to download Flash.
Just make sure to change the "Auto-update apps" in the Playstore settings to "Do not auto-update apps", FIRST otherwise these downloads will be instantly updated.