Hello!
It's almost obvious to say the LEDs should be tested to see if they all work before glueing everything.
And if they work, you could immerse everything in Super Glue and it still should be working. Glueing the wires and LEDs with it should be no problem at all, it's just that repairing anything afterwards gets really hard.
Here's my rig, I also used super glue here:
Hope it helps, good luck with your lighting and have a nice day
Paweł