Are they plug together type connectors?
If so, try using either ordinary electricians connectors that you use a screwdriver on (chocolate blocks we call them over here), or better yet through crimps, though these are single use only and you have to cut them off to disconnect for whatever reason, you have to get the correct size crimp for the cable and they are better being crimped with the proper tool but you can use pliers. Properly done, crimps are pretty much vibration proof. Of course, I don't actually know if you can get them over there
As long as its dry under your seat and everything is electrically insulated, I wouldn't seal them up so that the heat can dissipate
Hope this helps