Firstly, I just fired up my ACER laptop and you may well be right about never having seen [b][i]e[/i]Recovery[/b] in the BIOS.
In my laptop's BIOS it appears at the bottom of the 'MAIN' screen and it's called [b][u]D2D[/b][/u] (presumably 'Disk to Disk').
If your BIOS doesn't have an entry pertinent to or suggesting anything like a Recovery function then maybe ACER laptops are the only ones with Recovery Partitions but that just makes no sense to me. For all the space they take up, all ACER systems should have it.
Your backup HD will not be visible to the Recovery mechanism as it is already mapped as to where to install to.
Since you don't have a valid working OS at present, yet still have a visible screen image, then NO I don't think your new graphics card will have much effect.
But it might be an idea to have the graphics drivers ready just in case. You can always boot into Safe Mode (giving you basic VGA Graphics) so you can install the bespoke drivers for your graphics card from there.