I don't believe PoE is active on each PoE enabled interface as factory default "out of the box": you always need to enable PoE feature (via Web UI or via CLI) on/for each port.
Which Firmware is the JG962A running? I recall of a fixed bug about PoE Status as shown by the Web UI with respect to what the CLI shows...solved with Software Release 3111 P07 (March 2016). Check that through latest Release Notes.
What are the results of display poe pse 4 (4 is your PSE-ID) and display poe pse commands?
Consider that PoE Firmware can be updated too, see here (page's bottom).
Note: there is definitely something strange on the 1950 Firmware's page...I don't see R3113P05 anymore (I have its Release Notes...because I downloaded it during the last week of August)...the latest Firmware release is only R3113P03 of June. Really strange.