  We present a study of flare rates, rotation periods, and spectroscopic
activity indicators of 125 single stars within 15 parsecs and with masses
between 0.1$-$0.3 $M_\odot$ observed during the first year of the TESS mission,
with the goal of elucidating the relationship between these various
magnetically connected phenomena. We gathered multi-epoch high resolution
spectra of each target and we measured equivalent widths of the activity
indicators Helium I D$_3$, $H\alpha$, and the Calcium infrared triplet line at
8542.09 angstroms. We present 18 new rotation periods from MEarth photometry
and 19 new rotation periods from TESS photometry. We present a catalog of 1392
flares. After correcting for sensitivity, we find the slope of the flare
frequency distribution for all stars to have a standard value of $\alpha$ =
1.98 $\pm$ 0.02. We determine R$_{31.5}$, the rate of flares per day with
energies above E = 3.16$\times$10$^{31}$ ergs in the TESS bandpass. We find
that below a critical value of $H\alpha$ EW = -0.71 angstroms, log R$_{31.5}$
increases linearly with increasing $H\alpha$ emission; above this value, log
R$_{31.5}$ declines rapidly. The stars divide into two groups: 26% have
$H\alpha$ in emission, high flare rates with typical values of log R$_{31.5}$ =
-1.30 $\pm$ 0.08, and have Rossby numbers $<$ 0.50. The remaining 74% show
little to no $H\alpha$ in emission and exhibit log R$_{31.5}$ $<$ -3.86, with
the majority of these stars not showing a single flare during the TESS
observations.
