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We present a study of flare rates, rotation periods, and spectroscopicactivity indicators of 125 single stars within 15 parsecs and with massesbetween 0.1$-$0.3 $M_\odot$ observed during the first year of the TESS mission,with the goal of elucidating the relationship between these variousmagnetically connected phenomena. We gathered multi-epoch high resolutionspectra of each target and we measured equivalent widths of the activityindicators Helium I D$_3$, $H\alpha$, and the Calcium infrared triplet line at8542.09 angstroms. We present 18 new rotation periods from MEarth photometryand 19 new rotation periods from TESS photometry. We present a catalog of 1392flares. After correcting for sensitivity, we find the slope of the flarefrequency 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 withenergies above E = 3.16$\times$10$^{31}$ ergs in the TESS bandpass. We findthat 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, logR$_{31.5}$ 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% showlittle to no $H\alpha$ in emission and exhibit log R$_{31.5}$ $<$ -3.86, withthe majority of these stars not showing a single flare during the TESSobservations.

Flare Rates, Rotation Periods. and Spectroscopic Activity Indicators of a Volume-Complete Sample of Mid-to-Late M dwarfs within 15 Parsecs