see I knew you could do it
The only thing I suggest is you're paying $25 too much for that transmitter from Amazon. Are you aware of the shopping tab on google? I don't feel like you're posted links to the lowest lowest prices, maybe you just prefer amazon that's cool but if you simply google "immersionrc 600mw" and check the shopping tab, you'll find it for $69.99 with free shipping from GetFPV instead of $90 + 5 ship from amazon.
Same for the display its like $5 cheaper on banggood.com. don't forget it doesn't come with a power supply (neither does the Black Pearl) so you have to buy one separate, but those are super easy you can get that domestic, even at a place like Radio Shack for very cheap.
You will want a lanyard of some sort for the RC since it's going to be a bit heavy with the display mounted
Another important thing to note: I think FPVLR is backed up a few weeks due to his increasing popularity but that shouldn't matter since you're shipping stuff from China/HK anyway. Did you notice the line in your link that says
"For pilots using ImmersionRC transmitters go
here instead and select sma-male connector option" ?
that's you mate. ImmersionRC transmitter, remember?
make sure you select the correct option. I would also contact Tony via the sales at fpvlr email after you place your order, confirm the order number and your equipment (IRC 600mW, Boscam RX-LCD5802) so you get the right connectors. I would also suggest you request straight connectors on both receiver antennas.
I even found you a great video, again with my super secret magic tool called Google when I searched for "youtube firstpersonview.com cable"
he's using goggles instead of a display but the receiver part really isn't important. The video shows you how to move the can-bus port up inside the shell for an internal iOSD Mini install (remember to update the firmware before you close the shell back) as well as run all the cables. take heed of his warnings about never turning on a transmitter without an antenna attached!
https://www.youtube.com/watch?v=ido6peKTKKo
How much do you understand the different channels (frequencies) used in 5.8Ghz FPV? You're going to have to set a channel on the transmitter I think there's 7 or 8 options, then simply tune the receiver into the proper channel. We can cover that later that's pretty much the last step