Good evening...
Difficult to do this at a distance, but I'll try. I think you'd be best off working backwards from the jack. Un-solder the wire going to the jack and touch it to the amp input jack. Do you get a sound from any of the pick-ups..? Go through each switch position, any sound at all, or nothing..? If there's at least some sound, check carefully how the guitar output jack should be wired, and connect again the wire you took off.
If there's still nothing, un-solder the wire from the volume pot, coming from the switch. Same test. If sound, check the pot and its connections. If nothing, disconnect one, then the other, tone pots. Sound..? Check the tone pot connections. No sound..? Check the switch connections.
In general, I'd not be at all happy with solder joints like that. I don't want to discourage, and you're doubtless doing your best, but it's so easy to overheat and melt the inner wire, causing a short-circuit, very difficult to see. I can't do much to help with that except recommend using a decent iron (a Weller station is a Good Purchase...), to carefully strip the wires cleanly, and 'tin' them straight away. Don't 'pigtail' too tightly the outer braid; leave a bit of play where it separates from the inner core, and make sure that the outer is not heated for too long when tinning. It may pay to use a good flux paste for the braids and pot shielding; just make sure that it's flux for electronics, and not acid-based, such as used by plumbers.
Hope this helps a little. Any more issues will need the use of a multi-meter (always a Good Purchase, too..!).