EDIT: Your Truecharge 10 amper can be your "converter" while on shore power if you stay on battery for your 12v. You might draw more than 10 amps at a time for a while, but then only draw 5 amps for a while. Meanwhile, the 10 amper is cranking away continuously. As long as it can "catch up" and stay ahead over time, the batteries will be recharged and you stay good.
You can use both 10 ampers at once (in parallel) on the battery bank and that will give you 20 amps.
Both 12v batteries should be in parallel and the charger(s)/loads should go on the pos post of one and the neg post of the other so you are using them as one big 12v battery.
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Many (all?) deck mount converters have a "120v" glass fuse inside on the circuit board where the 120v cord is attached inside. If that fuse is ok, there is not much that a non-tech can do to get 12v out.
You can drill out the rivets and replace with screws for getting the converter's cover off.
On battery charging, it is not the amps so much as the voltage over time. You can use 10 amps for longer than 20 amps. You are replacing amp-hours.
What counts is voltage to get the batteries to "gas". That is usually around 14.4v, so 13.8 forever won't do it. The Truecharge ISTR goes to 14.2 which might be enough. The thing is that it takes so much time, but on shore power you don't care; it is when on generator you care about time. Then you want more amps in the AH.
Can Tire has all sorts of those metal vented covers of various sizes. You don't need the "right" size, just a bigger one than the hole. Don't understand the problem there.
The 8300 is actually like their 4400 and is better, but no big deal. Don't bother. ( I had a 4455TC for a time, but it fried)
IMO, probably the WFCO will do the job at 13.6 as long as you don't expect it to do its advertised 14.4, which is another story. You can use your charger if you ever needed to get over 14v with your batts run down any.
I still think you need to do more tests on what's there, since a new power centre might not fix the problem. It might, but first you need more proof that t would-- IMO.
Your bad battery may have over-worked the converter. With that gone, things might do better. Too many possibles!
1. 1991 Oakland 28DB Class C
on Ford E350-460-7.5 Gas EFI
Photo in Profile
2. 1991 Bighorn 9.5ft Truck Camper on 2003 Chev 2500HD 6.0 Gas
See Profile for Electronic set-ups for 1. and 2.