In order for a Battery Monitor (BMS)--any that I have seen--to work properly, nothing can be connected to the battery side of the shunt (which should be on the negative post). This allows the BMS to see charge in and charge out. Anything that connects directly to the negative post on the battery (or the battery side of the shunt) is invisible to the BMS, be it load or charge source.
Additionally, your solar panel(s) should run through a charge controller and not be connected directly to the battery bank. PV panels will produce whatever voltage they produce. That voltage may or may not bee what the batteries need for their current charge state. To grossly oversimplify, your battery (bank) charge cycle will be:
- Bulk: as much current as possible at its current voltage (which increases as charge level increases)
- Absorption: constant voltage of about 14.4v until "fully charged" (when current accepted drops to about 2 amps)
- Float: a maintenance stage where the voltage is kept at about 13.2v.
The specific values change according to battery technology (Flooded Lead Acid vs. Absorbed Glass Mat vs Lithium), temperature, and manufacturer recommendations. There's a bloody science to it that can get fairly complex, but the above is an 80%+ solution.