I know you're getting worked up over getting this right. While you're waiting for them to arrive, it's only natural. Don't overthink this.
Looking at
the photo here, it looks like there are 3 pairs of wires attached to the crossover board. One pair goes to the terminals on the back of the cabinet, another pair goes to the tweeter, and the 3rd pair goes to the woofer. They're color coded and seem to be long enough to reach their destinations, without being so long they dangle loosely. I doubt if you need to glue them down. If you do want to attach them somewhere, I'd use hot melt glue. I wouldn't want to use spray adhesive inside that cabinet. It's hard to control where it goes.
Those wires have terminals on them, called quick disconnects (QD). The wires have female QDs and the backs of the woofer, tweeter, and cabinet terminals have male QDs. They should attach without too much fiddling around, but don't expect them to snap together like Legos. Knowing Dennis Murphy, he dislikes those cheap QDs that don't fit well. I suspect he asked the Bennic people in Taiwan to use better quality QDs. There are usually 3 different QD widths, small, medium, and large. The large QDs are 0.25" wide, mediums are 0.1875", and smalls are 0.11".
Female QD:
View attachment 45886
Male QD:
View attachment 45887
Sometimes you'll see 2 different size male QDs on the backs of woofers and tweeters. They distinguish the plus terminal from the minus terminal. Or, you may see the positive QD terminal marked with a red dab of paint. See the photo of the woofer in that kit, showing the two male QDs. The QD on the right, the plus terminal, is marked with a red dot.
View attachment 45888
Here's the tweeter. The plus terminal has a red + sticker. Note that the tweeter has a closed back, so sound from the woofer can't interfere with it.
View attachment 45889
Installing the stuffing should be easy enough. Use it to line the side & rear walls of the cabinet, but keep it from interfering with the back of the woofer.
Finally, attach the screws - CAREFULLY. They're probably Phillips head screws. It's easy for the screw driver to slip out of the screw head while you're driving the screw in. Use two hands! One on the handle, and the other on the shaft near where it connects to the screw head. Don't let that screw driver slip out and puncture the woofer cone! (Don't ask how I know so much about this.)