TP4056 18650 Charging Board... Series Out?

It will damage your unit. The out port provides only 4.2 -4.3 volts , just enough to charge a single li-ion cell.
So you shouldn't connect your cells in series.

Some people tried connecting cells in parallel but since this one doesn't have a balancing circuit you shouldn't do that either.

Just stick with 1 unit per cell like everyone else suggested.