The car has a Constant clicking noise when trying to start the car. I have taken the battery to Autozone and it is fully charged and no issues with that. Please advise if it could possibly be the starter.

It's pretty hard to tell without knowing what kind of vehicle you have, but common things to check would be is the battery fully charged? Is the cables free of corrosion and tight? Is the starter good? The clicking could be a starter relay or solenoid engaging as it should, but something is preventing the voltage from getting to the starter, or there is an issue with the starter itself.

The clicking noise is the starter solenoid trying to operate but not enough power to work. The battery must be weak.
Try charging the battery first then retry to start.
Autozone, Sears, and others will check and charge your battery free.
Autozone also has videos to show what to do.
Hope this helps.

Did you test the alternator? Just because it is new doesn't mean it's good.

Hello
The engine in your Honda is controlled by a computer and has fully electronic ignition as part of the electronic fuel injection system, whenever you experience a fault like this a fault code is recorded in the memory of the systems computer (called the PCM). So the 1st step to resolve this issue and find the problem is to have the fault codes read with a special tool called a scanner. Autozone and other stores like Autozone do this fault code test for free.

Is the battery fully charged and have you put a load test on the battery to ensure no dead cells?

If battery is not the issue, could be the started solenoid.

Your battery is drained/not fully charged. The fast clicking noise comes from your starter, the starter selnoid is clicking, however there isn't enought amp to turn over the selenoid to roll over the engine. You can try jumping it using another car, or a portable battery jumper and leave it running or drive the car around for about 20+ min to see if the battery would charge, if it doest charge or it start getting drained down agian, then you need to replace your battery.

Sound like a low battery, lights left on or not charging. Try boosting it. If starts and then stalls the alternator not charging. If it starts and keeps running its probably a low battery or a drain.

Sounds like a dead battery issue. If someone can jump start you with battery cables connect red to red post on battery and black to your car frame or other ground. If the car starts easily it indicates a discharged battery. Then you need to determine why the battery is discharged. If you can drive to a local autoparts store they can use a machine to do a battery and charging system diagnosis at the curbside. Autozone, Advance, or Oreilly all do this. If the battery is the original from the car when purchased it is probably time to replace it. If its a new one (2 years or less) the culprit may be the alternator. The clicking noise is a dead give away that its a battery or alternator issue. The clicking by the way is the starter trying to engage and turn motor over to crank it. Its not getting enough power to turn the engine over (a tough task) and is clicking.

ground missing, had same problem ran ground from battery to frame

make sure the battery is fully charged and the charging system is ok. advance auto or autozone will check this for free. if all checks out i would say replace the starter.