Yes

As opposed to http://gparted.org/download.php? Why?

What would happen if I format with windows then again with GParted?
At the moment the new partition is un-named too. Should I name it in GParted?

Because your far more likely to have problems, as the software packages in your distro's repo's are, "tailored" for your distro. The "generic" download is NOT "tailored" for your distro.

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In answer to your first question, Why?

Yes, you should use Gparted to name your new partition.

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How does one check for Microsoft Third-Party Marketplace keys in firmware of a linux distro before install?

Not quite sure what your asking there, and more to the point (without trying to be rude), Why?

I'll be able to tell which is the windows partition with GParted?

Yes, look for ether, VFAT or NTFS, next to the listed partitions, and if you see that, they are your Windows partitions.

EDIT: Windows is more likely than not, installed to a NTFS partition.

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Are the ext4's mean to be logical or primary?
Does GParted assign that automatically?

ext4 is a file system for Linux.

EDIT: To your last question, no, you would format your partition with ext4, if you wanted to format it, for use with Linux. Windows would be unable to read (or write) to ext4, without a file system driver for it.

Actually, the day you finally got rid of the Windows partition was the day you totally fsck'd up your Linux install.

Hey linux-man .. I think jsbjsb001 has answered most of your recent questions. However, with respect to partitions being primary or extended, it's both a question of necessity and/or choice:

1) If you are using a BIOS/FAT based computer, you are limited to 4 primary partitions. If you are keeping Windows, that may already use up 2 to 3 (the main partition, a recovery partition and possibly a "SYSTEM" partition that contains various tools). So in such a case, you would be forced to create the 4th and final partition as "Extended" and create as many logical partitions as you need within it for linux or for whatever other reason.

2) If your computer is more recent (last couple of years), your firmware may be UEFI/GPT based, which does not require the above-mentioned workaround, since there is no limit to the number of primary partitions you can create. You can still create extended partitions that contain logical partitions, but you are not required to.

Hope this helps. Let us know if you require further assistance.

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Not quite...

Enablers!