22uF 0805 SMD capacitor for voltage regulator?
The output capacitor type mentioned is critical. The tantulum capacitor is specifically mentioned in the datasheet. Tantulum has higher ESR compared to ceramic, and will help in loop stability for the regulator. If you are switching to ceramic, there is a possibility of ringing and unstable output. I would choose I higher value of ceramic, indeed the same 100uF one used at the input. Higher value of the capacitor is good for stability.  

 

Edit 2: 

The drop out voltage is 1.3 V maximum. So, the input voltage for the 5 V regulator has to be at least 5 + 1.3 = 6.3 V. The diode drop if we consider, the input voltage from the DC jack has to be atleast   7 V. Either one should change the input DC jack vorlage range description or use a ideal diode (using PMOSFET for reverse voltage protection or a Schottky diode).