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 basic RV charging system is called a Converter-Charger. Its primary function is to convert 120v shore power to 12V DC power so that your battery does not need to provide DC while you are plugged in. Its secondary function is to charge the battery(s) when and if it has excess capacity.