The problem is that waste piping must be installed so that the flow is directed. You have a san tee laying on its side with the outlet dropping out the bottom. With a significant flow the water from the sink on the left will by-pass the outlet and flow directly into the disposer (or vice versa). It's a code violation not to mention a clog waiting to happen.

The dishwasher airgap discharging into its own trap is suspect for the simple reason that traps should only be installed on fixtures that will receive regular discharge. It is assumed that a fixture with a faucet will receive water from the faucet on a regular basis but that is not true of a dishwasher. For example, my mother has never used her dishwasher in the 5 years she's been in her apartment - her trap would have lost its seal and sewer gas would be entering via the dishwasher. You may use your dishwasher everyday and never have a problem but in many jurisdictions this is a code violation.

Both issues are relatively easy to fix.