I've never "wired my own," but I would not recommend tape for anything more than testing. Maybe not even that. The primary reason is that panels get hot and the adhesion would probably loosen & break the connection(s). As for voltage, test them individually first. If *ANY* of them are bad, you will get nothing. This is because they're wired in series ...to increase voltage. Test them one by one to weed out any bad ones first. Then you can isolate the problem. For better soldering, you'll need flux. Otherwise the solder may just ball up and not create a useful film/bond between metals. Good luck!
Oh... and there's a polarity to them (you probably knew this), so make sure positive connects to negative of next panel, repeat, until only one positive & negative are left.