Welcome from NJ,
Very common failure.
More likely to be your battery. Regardless of what voltage it reads pull it and have it load tested. A fully charged battery should read approx 12.8 volts. A load test is the only way to know if the battery is good. Current available is whats important not volts. The horn beeping tends to happen when the battery is the issue. DEKA or Duracell are good replacement batteries.
Protect your EHC with an additional Circuit Breaker or Fuse between the battery and the EHC. A shorted battery will destroy your EHC. The stock CB protects the battery from a VR failure but leaves the EHC vulnerable.
If your battery is old (more than 2-3 years) replace it anyway.
Bike should only read ballpark 14vdc while it's running.