Battlefield 3 + 4 uses
to logon and integrates with Origin. The browser plugin therefore is also required. I have had a long history of crashes with Firefox while browsing and highlighting text. This would often cause a STOP 0x00000124 (WHEA Uncorrectable Error). This often is related to bad RAM, AMD Cool and Quit, PSU issues or even too heavily overclocked systems. In some reported cases it was caused by the display drivers. After deleting and re-creating a new Firefox profile, the problem persisted.
I have uninstalled Firefox and moved over to Waterfox >
<, which is based on the same code but way faster. It barely uses 350mb of RAM when having 40+ tabs open. Even Battlefield logs on with no issues.
You said PC crashed when using Chrome, so don't use it for a while, rather use IE of Firefox for testing.