hrmm... Micro inverters are pretty much always grid tie, which only make sense on a house grid connected system, EXCEPT that some power inverters such as Victron and *shudders* power jack inverters will recharge the batteries if connected to grid tie micro inverters. But, I wouldnt trust anything but a Victron or similar high dollar inverter/charger to actually apply proper charge curves to the batteries and not cook them. And, if your inverter goes out, you lose solar altogether.
Have you considered running each panel to a separate MPPT charge controller? Then if a panel gets shaded, all panels are still running at their max power point, including the shaded one.
You can parallel panels for sure, a shaded panel will slightly drop it's max power potential voltage below that of the other panels though, causing a greater power reduction on that panel than if it had a MPPT controller on it... but maybe that is a small enough loss that it's not worth the expense?