We investigate multitask edge-user communication-computation resource allocation for $360^\circ$ video streaming in an edge-computing enabled millimeter wave (mmWave) multi-user virtual reality system. To balance the communication-computation trade-offs that arise herein, we formulate a video quality maximization problem that integrates interdependent multitask/multi-user action spaces and rebuffering time/quality variation constraints. We formulate a deep reinforcement learning framework for \underline{m}ulti-\underline{t}ask \underline{r}ate adaptation and \underline{c}omputation distribution (MTRC) to solve the problem of interest. Our solution does not rely on a priori knowledge about the environment and uses only prior video streaming statistics (e.g., throughput, decoding time, and transmission delay), and content information, to adjust the assigned video bitrates and computation distribution, as it observes the induced streaming performance online. Moreover, to capture the task interdependence in the environment, we leverage neural network cascades to extend our MTRC method to two novel variants denoted as R1C2 and C1R2. We train all three methods with real-world mmWave network traces and $360^\circ$ video datasets to evaluate their performance in terms of expected quality of experience (QoE), viewport peak signal-to-noise ratio (PSNR), rebuffering time, and quality variation. We outperform state-of-the-art rate adaptation algorithms, with C1R2 showing best results and achieving $5.21-6.06$ dB PSNR gains, $2.18-2.70$x rebuffering time reduction, and $4.14-4.50$ dB quality variation reduction.