Neutral atom arrays coupled to optical cavities are a promising platform for quantum information science. Optical cavities enable fast and non-destructive readout of individual atomic qubits; however, scaling up to arrays of qubits remains challenging. We recently addressed this by using locally controlled excited-state Stark shifts to achieve site-selective hyperfine-state cavity readout across a 10-site array. To further speed up array readout, we demonstrated adaptive search strategies utilizing global/subset checks, paving the way for faster quantum error correction cycles. As a step toward fault tolerance, we demonstrated repeated rounds of classical error correction, showing exponential suppression of logical error and extending logical memory fivefold beyond the single-bit idling lifetime. In addition to these experimental results, I will present my recent theoretical work on fault-tolerantly linking atom arrays using cavity-based photonic interconnects. By tailoring our quantum error correction scheme to the strengths of the neutral atom array + cavity platform, we can lower the bar for communication fidelity, bringing fault-tolerant connection of error-corrected modules within reach of existing neutral atom technology.