The coax connectors I use are solder-less. They use a special tool that compresses the connector and makes watertight seals on the cable and the shield. I forget the brand but I can look it up when I get home. As for the 6-conductor cable, I think the best connections use adhesive lined heat sealing terminals. You have to make sure that they are crimped tightly (takes practice and a quality crimping tool), but no soldering is required. As for sealing the heat shrink at the top of your mast, I have a device that is designed for this task and it uses disposable butane lighters for fuel. Barring that, you could use a small torch in a low wind condition. A torch like one used for caramelizing the sugar on creme' brulle could be perfect.
I'm on my boat now but if you need more info just reply here and I will send more by tomorrow.