If your authorised representative in the EU put your products under his/her own name, then she/he takes over your responsibilities. In this case he/she must have sufficient information on the design and production of the product, as he/she will be assuming the legal responsibility when affixing the CE marking.
Many of the larger inverters come with a built in charger. Typically a 2000 Watt or larger inverter will have a 50 to 100 Amp 3 stage charger. These are much better than the typical RV converter/charger. If you are planning on a more powerful charger anyway, the combo units make sense.
The RV devices mostly run on 12 volt DC power that is supplied by the battery, which allows the RV to function independently. When shore power (an electrical supply) is available, the converter changes the voltage from 120 to 12 volt to supply the appliances and to recharge the battery.