Well not related to your issue but I wonder why you have “core_freq=250” in your config.txt
In regards to your issue. The last entries in your kodi.old.log are around data from Emby. May I suggest you check your emby setup and also maybe temproarly disable Emby in OSMC to see if the issue still exists to narrow done your issue.
20:36:46 1037.682251 T:1957094320 WARNING: CreateLoader - unsupported protocol(library) in library://video/Emby - 7c6b1294b30d4c722993e4036d0425ac/7c6b1294b30d4c722993e4036d0425ac_genres.xml/VIDEO_TS.IFO
20:36:46 1037.682983 T:1957094320 WARNING: CreateLoader - unsupported protocol(library) in library://video/Emby - 7c6b1294b30d4c722993e4036d0425ac/7c6b1294b30d4c722993e4036d0425ac_genres.xml/VIDEO_TS/VIDEO_TS.IFO
20:36:46 1037.683472 T:1957094320 WARNING: CreateLoader - unsupported protocol(library) in library://video/Emby - 7c6b1294b30d4c722993e4036d0425ac/7c6b1294b30d4c722993e4036d0425ac_genres.xml/index.bdmv
20:36:46 1037.683960 T:1957094320 WARNING: CreateLoader - unsupported protocol(library) in library://video/Emby - 7c6b1294b30d4c722993e4036d0425ac/7c6b1294b30d4c722993e4036d0425ac_genres.xml/BDMV/index.bdmv
20:37:23 1074.885864 T:1757590512 NOTICE: EMBY WebSocket_Client → Message: {“MessageType”:“ScheduledTaskEnded”,“Data”:{“StartTimeUtc”:“2016-04-20T02:37:22.8007400Z”,“EndTimeUtc”:“2016-04-20T02:37:23.8534120Z”,“Status”:“Completed”,“Name”:“Organize new media files”,“Key”:“AutoOrganize”,“Id”:“415f8db75e909cdef2a3da79d1e2c636”}}
20:42:25 1376.394897 T:1757590512 NOTICE: EMBY WebSocket_Client → Message: {“MessageType”:“ScheduledTaskEnded”,“Data”:{“StartTimeUtc”:“2016-04-20T02:42:23.8530270Z”,“EndTimeUtc”:“2016-04-20T02:42:24.8547270Z”,“Status”:“Completed”,“Name”:“Organize new media files”,“Key”:“AutoOrganize”,“Id”:“415f8db75e909cdef2a3da79d1e2c636”}}
20:47:25 1676.659180 T:1757590512 NOTICE: EMBY WebSocket_Client → Message: {“MessageType”:“ScheduledTaskEnded”,“Data”:{“StartTimeUtc”:“2016-04-20T02:47:24.8544510Z”,“EndTimeUtc”:“2016-04-20T02:47:25.6252620Z”,“Status”:“Completed”,“Name”:“Organize new media files”,“Key”:“AutoOrganize”,“Id”:“415f8db75e909cdef2a3da79d1e2c636”}}
20:48:01 1712.998291 T:1957094320 WARNING: CreateLoader - unsupported protocol(library) in library://video/Emby - 7c6b1294b30d4c722993e4036d0425ac/7c6b1294b30d4c722993e4036d0425ac_random.xml/VIDEO_TS.IFO
20:48:01 1712.999023 T:1957094320 WARNING: CreateLoader - unsupported protocol(library) in library://video/Emby - 7c6b1294b30d4c722993e4036d0425ac/7c6b1294b30d4c722993e4036d0425ac_random.xml/VIDEO_TS/VIDEO_TS.IFO
20:48:01 1712.999390 T:1957094320 WARNING: CreateLoader - unsupported protocol(library) in library://video/Emby - 7c6b1294b30d4c722993e4036d0425ac/7c6b1294b30d4c722993e4036d0425ac_random.xml/index.bdmv
20:48:01 1712.999756 T:1957094320 WARNING: CreateLoader - unsupported protocol(library) in library://video/Emby - 7c6b1294b30d4c722993e4036d0425ac/7c6b1294b30d4c722993e4036d0425ac_random.xml/BDMV/index.bdmv
20:48:57 1768.885742 T:1957094320 WARNING: CreateLoader - unsupported protocol(library) in library://video/Emby - 7c6b1294b30d4c722993e4036d0425ac/7c6b1294b30d4c722993e4036d0425ac_recommended.xml/VIDEO_TS.IFO
20:48:57 1768.886475 T:1957094320 WARNING: CreateLoader - unsupported protocol(library) in library://video/Emby - 7c6b1294b30d4c722993e4036d0425ac/7c6b1294b30d4c722993e4036d0425ac_recommended.xml/VIDEO_TS/VIDEO_TS.IFO
20:48:57 1768.886841 T:1957094320 WARNING: CreateLoader - unsupported protocol(library) in library://video/Emby - 7c6b1294b30d4c722993e4036d0425ac/7c6b1294b30d4c722993e4036d0425ac_recommended.xml/index.bdmv
20:48:57 1768.887207 T:1957094320 WARNING: CreateLoader - unsupported protocol(library) in library://video/Emby - 7c6b1294b30d4c722993e4036d0425ac/7c6b1294b30d4c722993e4036d0425ac_recommended.xml/BDMV/index.bdmv