If I am not getting confused, this system of resistors is required by iPhones and other i-Devices to charge at different current levels. Otherwise an error message will pop up. If you don't have an iPhone you can quite safely remove these and replace them.
Apple stopped being as 'lax' with the charging interface and started being very picky about having the official chargers. We still doubted that there was an enumeration chip inside each charger - too expensive and complex. So there must be something else going on in those data lines. Time to sacrifice an official Apple iPhone 3Gs charger!
Taking it apart, desoldering the 4 data line resistors and measuring them on our multimeter, we found the following as shown in the schematic:
It sounds like your batteries aren't properly buffering the MPPT output. With the MPPT off, do your accessories still work off the batteries (even momentarily)? If not, you may have a bad cell or open battery fuse.
With healthy batteries connected in parallel to your MPPT, the voltage shouldn't vary more than a few tenths of a volt with a constant load.
You don't want to regulate the MPPT output to 12V, as it would not be able to float charge your batteries at that level. It is generally safe to float charge (constant voltage) a 12V monoblock at 13.5V indefinitely. Specs on your specific battery should identify the ideal float charge voltage as as function of its specific gravity.
If your batteries turn out to be failing, make sure that you're using deep-discharged rated batteries and not batteries intended for engine starting applications. So-called starter batteries are designed for very high instantaneous current, but relatively low discharge depth (you start your car, then they recharge immediately). Your application will likely pull your batteries down to a much higher depth of discharge on a regular basis, so you'll need a battery specifically designed for this use case if you expect a decent working life from the batteries.
EDIT:
Most MPPTs have a relatively low current output at 13.5V - usually less than a couple of amps. The reason that batteries are used in parallel is to allow loads that exceed the capacity of the MPPT. For this to work continuously, the total energy supplied by the MPPT per day/week must exceed the total energy removed from the system per day/week, as the battery just stores/buffers energy; it doesn't create it.
Consider this example (done in amps rather than watts for clarity, even though watts would be more accurate) - Assume an MPPT with a ~1A output is connected to a fully charged battery. Now assume a 10A load is connected to the system. Roughly 1A of that 10A will be supplied by the MPPT and the remaining 9A will be supplied by the battery. The battery's terminal voltage under discharge will define the voltage at the load and the MPPT will adjust its output to match (being a constant power device). This load can't be sustained, as the battery will eventually be depleted. When the load is removed, the MPPT's output will float charge the battery until it is returned to 100% SOC or until a load is re-applied.
Rapid load voltage fluctuations between 12.0 and 13.5 strongly suggest that the MPPT (or the load, if electronic) is being forced into a fold-back self protection mode as a result of a load that exceeds the MPPT output without adequate battery buffering.
This thread may also be helpful.
Best Answer
The various quick charger technologies work changing the voltage provided by the wall (or car) adapter.
The problem is quite simple: if you want to provide 30W to a tablet to power it and charge it, you need a whopping 6A@5V, i.e. a big expensive cable. If the voltage was, say, 15V, you only need 2A, which is feasible.
At the moment, to use quick charge technology you need matching components: if you have an iPhone it won't use qualcomm QC3 tech, but possibly its proprietary adapter use a different QC standard.
Unfortunately, since rising the voltage is out of the USB spec, what happened is that everybody did their own version, and they are not compatible. This will end with USB C.
If your devices implement some sort of QC technology you need to search for a compatible adapter, or you won't be able to fast charge them.