Just in case someone's watching, I found another switch in this state.
From your list:
1) Yes
2) No, times out
3) See below
4) No relevant logs (I found this switch many weeks after it went missing on the network)
Also, the down/up cycle didn't help either.
Extensive output:
{master:0} root@ex2200-03> show interfaces me0 extensive Physical interface: me0, Enabled, Physical link is Up Interface index: 1, SNMP ifIndex: 33, Generation: 1 Type: Ethernet, Link-level type: Ethernet, MTU: 1514, Clocking: Unspecified, Speed: 100mbps Device flags : Present Running Interface flags: SNMP-Traps Link type : Full-Duplex Physical info : Unspecified Hold-times : Up 0 ms, Down 0 ms Current address: 54:e0:32:8f:af:bf, Hardware address: 54:e0:32:8f:af:bf Alternate link address: Unspecified Last flapped : 2017-03-27 18:07:59 UTC (00:03:03 ago) Statistics last cleared: Never Traffic statistics: Input bytes : 23344192147 Output bytes : 0 Input packets: 305350394 Output packets: 6395590 IPv6 transit statistics: Input bytes : 0 Output bytes : 0 Input packets: 0 Output packets: 0 Input errors: Errors: 0, Drops: 0, Framing errors: 0, Runts: 0, Giants: 0, Policed discards: 0, Resource errors: 0 Output errors: Carrier transitions: 9, Errors: 1, Drops: 0, MTU errors: 0, Resource errors: 0 Logical interface me0.0 (Index 3) (SNMP ifIndex 34) (HW Token 4294967295) (Generation 1) Flags: SNMP-Traps Encapsulation: ENET2 Bandwidth: 0 Traffic statistics: Input bytes : 23344192147 Output bytes : 923271368 Input packets: 305350394 Output packets: 8221098 Local statistics: Input bytes : 23344192147 Output bytes : 923271368 Input packets: 305350394 Output packets: 8221098 Protocol inet, MTU: 1500, Generation: 141, Route table: 0 Flags: Is-Primary Addresses, Flags: Is-Default Is-Preferred Is-Primary Destination: 10.17.0/20, Local: 10.17.15.250, Broadcast: 10.17.15.255, Generation: 1
Also interesting, the management interface seems to have ARP entries for remote systems even though it won't actually use them.