I'm late coming here so some of this may be repeated.
A. Start at the pedestal. Open the breakers, unplug shore power. Turn on the breakers and measure the voltage. No voltage? Call the dock master. Good voltage, open the breakers, plug in shower power cables.
B. Measure voltage at the boat end of the SP (shore power) cable. No voltage, bad cables or connections
C. With pedestal breakers open, plug SP cables into the boat after closing pedestal breakers, measure voltage at the first breakers inside the boat. Measure voltage into the breaker and the of the breaker (at the panel?). (As you are trouble shooting, cycle the breakers a few times)
No voltage at the panel, open all breakers and tighten all breaker connections. No change? With SP disconnected, brighten all connections at the panel. With SP connected breakers closed, no voltage, call an electrician.
Further question, how is inverter/charger wired into the system. IMO, there should be a breaker to turn inverter/charger on and off. Check the voltage into and out of inverter. No voltage, open the SP breaker, brighten the connections into and out of inverter/charger. Energize the inverter/charger. Measure again. No output, bad inverter/charger?
This is where I choose to stop and wait for answers. I think I got the procedure right.
Be methodical in your trouble shooting. Never be afraid to employ a qualified electrican.
Never work on an energize circuit. 120vt will hurt and you may die especially if you have a pacemaker (?)
I have a separate charger and inverter. It makes things easier to trouble shoot and less expensive, replacing only the defective part.