The cord is not specific. There is a USB bundle of that mic, then you don't even need the mixer. The mixer is good for its preamp, but check to see if it has phantom power.
Basically, the essentials are mic with XLR cable and connector, because it is the quietest and generally most compatible with the kind of hardware you should be using. The mixer is not essential unless you need it to perform preamp role (which it has).
Now that you have a preamp and mic, you need to interface with your computer. Most uninitiated people assume they can plug in to the analog input of their soundcard. This would introduce the point of lowest quality and bandwidth. USB bypasses your existing soundcard to use instead a specialized DA convertor (sound chipset) optimized for the role of laying down a track from mic or instruments. Firewire is also an option.
So keeping roles in mind...
You have the source of the physical sound you want to record, either an instrument or a mic.
With a mic, you need to use one with an XLR cord and interface as by far the most common for any studio. If your mic requires power, you need to account for that. The cord is most often plugged in to a preamp, and this is the most common way to power your mic that requires it. The preamp needs to get its signal to the computer, and bypassing the standard soundcards is advisable because of the very poor performance of the typical soundcard physical input, even when in the specifications many standard soundcards apparently acheive the same level of performance. The issue is the physicla interface.
So this is why using a Firewire or USB audio interface, which is in almost all cases, a specialized soundcard that has the XLR or other high quality interface port. USB and Firewire are needed to direct the data from the external soundchip to the PC's buses for processing.
1) Mic with XLR connection
2) Preamp with power for mic, if your mic requires it
3) Preamp to soundchipset / soundcard with quality equal to XLR connection (bypass low quality common connections).
Now the sound is in your computer and you deal with software etc. This is also why you have no problem playing recordings on your standard soundcard, because the card chipset is rarely the problem, even though many people respond to the power of suggestion and think they can hear the difference, the chipsets are almost always just fine. OTOH, the typical soundcards also have pretty cheap speaker connections, and standard speakers can be again the point of lowest quality that impede high quality renderings. Sound signals are very much like the proverbial chain that is only as good as its weakest or lowest quality "link."
I use separate soundcards for almost each role, but only because that allows me to leave things configured. I have a MIDI keyboard with its own UA4FC, a USB audio interface that works like any other external soundcard, but has XLR with phantom power for my condenser mics. I leave my keyboard feeding it, and then route that to a mixer. The mixer is optional for me because some drivers prevent sharing. If I continued to use it as my own soundcard role, I would have disabled all other sounds when practicing keyboard hand drills.
I have an M-Audio Black Box that I use for my guitars and bass. It too has its own soundcard soundchip that can render digital audio in to high quality analog audio.
I then feed these to the mixer, which has both a USB to record in my DAW, and the analog output bus goes to a home theater AVR using high quality RCA cables and connections. The reasons for this (why I am telling you) is that at no point does any of the audio pass through any compromised cables or connections. A lot of people seem to think that digital audio is no good because they have only ever heard it on systems that depend on some low quality connections. Standard soundcards suffer most often due to these super cheap small input jacks more than any other problem. On paper, my internal soundcard is just as good as the others, but these jacks are bypassed for the reasons I explained. The audio sounds fantastic, and I use it for Digital Dolby for films along with recording my own stuff.
I'm sure I didn't make myself as clear as I hoped, but giving you the entire picture gives you a chance to ask any questions, because I think these are the considerations one must use to decide what they need most for their next purchase. It wasn't clear to me what you've already purchased. Let me know if I can clarify anything. I've also been keeping track of good performance value-priced gear, so I might be able to help find things.
The USB version of your mic might be the best deal, but you can't as far as I know use it in a mixer. There are pitfalls like that to buying USB mics, though for some people they are ideal. In your case, it increases the price by 50% too, so...that is all I can think of to consider.
