Parallax 8345 Converter/Charger manual says it is capable of delivering up to the full rated 45 Amps of charging to the battery. It is, however, a taper charger so the delivery to the battery will taper off as the state of charge increases. That said, if the battery were sitting at 11.8V (about 30% charged), the converter/charger should be delivering quite a few amps (I would think at least 10-15A or more). The voltage during that delivery should be (bare minimum) 13.2 volts but should probably be more like 13.7V. You need to plug in to shore power and measure the voltage at the battery terminals. 13.5 - 13.7V should be present at the battery terminals. If not it can only be two issues;
1) Dead cell(s) on the battery (easily measured at home with a volt meter and some bare wire or with a hydrometer)
2) Converter/Charger output not making it to the battery. You need to trace down the wiring and devices between the charger and batteries.
Dealer trying to sell you on solar as a fix to this issue is a crook. RUN