Here's a couple things to check:
Always suspect previous wiring repairs!! What you want to do with your multimeter is put it on the "continuity" setting- when you touch the two leads together the meter will beep- letting you know there is a closed circuit. Use this setting to test the wires on each side of the splice, to make sure the splice is making good contact, and is not flaking out on you. It could be that the PO just twisted the wires together and then covered them with tape- a sure "open circuit" at some point in the future- maybe the cause of your problem now.
To do splices right, do this:
1) Go to radio shack, and buy shrink tubing- you want to get the smallest size they have, probably 3/16" diameter. Cut a piece about an inch long.
2) remove the electrical tape, untwist the wires, and slide your 1" piece of shrink tube onto one of the wires, and move it a few inches away from the joint. Now re-twist the joint (if you have enough slack in the wire, cut off the old twisted bare wires, and strip off a 1/4" fresh on each side. Twist them together so that the twist is inline, not perpendicular to the wire.
3) tin a soldering iron (let your iron heat up, clean the tip, then put fresh solder on the tip). Now heat the joint, and press solder into the joint until it is nice and shiney.
4) slide the shrink tube over the freshly soldered joint, and heat it with a cigarette lighter until it shrinks tight covering the joint. DONE!
Next place to suspect trouble (if it wasn't the splices) would be the connectors on that wire group. Use the manual/schematic- it should show you where the connectors are. Unplug them, clean/inspect the pins, and reconnect them, making sure there is good contact. You can use your multimeter's continuity setting here to test.
Make sure your battery is fully charged too, just to be safe. You also might want to check the continuity of the horn switch- make sure that when the horn button is pressed, your multimeter issues a steady beep. Otherwise the switch might be acting up on you!
Jason