USD 3,000 / per wedding price is too high. Clients are not interested in your experience, equipment, lighting equipment, insurance. They want to buy specific product - wedding photos. Nobody cares about your expenses. If someone is doing wedding photography during weekends, has a good equipment and required skills he / she is able to make wedding photos much cheaper.
Not knowing a few key variables, but with a reasonable assumption and some easy math...
Lots of so-called "professionals" are near the $100.00/hr rate for their services. Some are considerably more.
So, $3,000.00 USD gets you 30 man-hours of time at the hypothetical $100.00/hr.
Seems to me, from the outside looking in, that it would be fairly easy to rack up 30 man-hours of time on a wedding job. Easier (faster) if you have paid assistants (8 hour day can equal 12-16 man-hours for 2 people, depending on the billing rate). Remember, you have to track and account for all time spent for that one job: Initial consultation, site preview, the event itself, proofs, more client conversations, delivery (those are just off the top of my head).
Depending on what you really want or need to make per hour, there is some latitude. It always comes down to some sort of hourly rate.
Then the other stuff like mileage and equipment depreciation, supplies and so forth comes out of that hypothetical hourly rate.
So, just from a business perspective, there is justification for the price. Value and selling those services to paying clients are completely separate entities.
I bet if the $500.00/event photographers figured out what they were making per hour after lugging several thousand dollars of equipment around, many would be very disappointed.