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I'm trying to back up my BBT Season 7 Blu-Ray to import it into Plex. I've enabled Debugging, and below are the logs. It converted everything except Title 02 and Title 10, then I reran it for just those two, and still got the same messages regarding it.

MakeMKV v1.9.5 win(x64-release) started
Debug logging enabled, log will be saved as C:\Users\.../MakeMKV_log.txt
Using direct disc access mode
Loaded content hash table, will verify integrity of M2TS files.
Title #00000.mpls has length of 8 seconds which is less than minimum title length of 120 seconds and was therefore skipped
File 00062.mpls was added as title #0
File 00061.mpls was added as title #1
File 00060.mpls was added as title #2
File 00059.mpls was added as title #3
File 00058.mpls was added as title #4
File 00057.mpls was added as title #5
File 00056.mpls was added as title #6
File 00055.mpls was added as title #7
File 00054.mpls was added as title #8
File 00053.mpls was added as title #9
File 00052.mpls was added as title #10
File 00051.mpls was added as title #11
Title #00009.mpls has length of 50 seconds which is less than minimum title length of 120 seconds and was therefore skipped
Title #00008.mpls has length of 29 seconds which is less than minimum title length of 120 seconds and was therefore skipped
File 00007.mpls was added as title #12
File 00018.m2ts was added as title #13
Title #00031.m2ts has length of 11 seconds which is less than minimum title length of 120 seconds and was therefore skipped
Title #00030.m2ts has length of 19 seconds which is less than minimum title length of 120 seconds and was therefore skipped
Title #00999.m2ts has length of 4 seconds which is less than minimum title length of 120 seconds and was therefore skipped
Title #00007.m2ts has length of 10 seconds which is less than minimum title length of 120 seconds and was therefore skipped
Title #00006.m2ts has length of 50 seconds which is less than minimum title length of 120 seconds and was therefore skipped
Title #00005.m2ts has length of 29 seconds which is less than minimum title length of 120 seconds and was therefore skipped
Title #00004.m2ts has length of 10 seconds which is less than minimum title length of 120 seconds and was therefore skipped
Title #00003.m2ts has length of 23 seconds which is less than minimum title length of 120 seconds and was therefore skipped
Title #00040.m2ts has length of 4 seconds which is less than minimum title length of 120 seconds and was therefore skipped
File 00017.m2ts was added as title #14
File 00019.m2ts was added as title #15
Title #00016.m2ts has length of 0 seconds which is less than minimum title length of 120 seconds and was therefore skipped
Title #00038.m2ts has length of 4 seconds which is less than minimum title length of 120 seconds and was therefore skipped
Title #00901.m2ts has length of 15 seconds which is less than minimum title length of 120 seconds and was therefore skipped
Title #00900.m2ts has length of 15 seconds which is less than minimum title length of 120 seconds and was therefore skipped
Title #00037.m2ts has length of 4 seconds which is less than minimum title length of 120 seconds and was therefore skipped
Title #00032.m2ts has length of 5 seconds which is less than minimum title length of 120 seconds and was therefore skipped
Title #00036.m2ts has length of 4 seconds which is less than minimum title length of 120 seconds and was therefore skipped
Title #00035.m2ts has length of 1 seconds which is less than minimum title length of 120 seconds and was therefore skipped
Title #00034.m2ts has length of 9 seconds which is less than minimum title length of 120 seconds and was therefore skipped
Title #00033.m2ts has length of 5 seconds which is less than minimum title length of 120 seconds and was therefore skipped
Operation successfully completed
Saving 2 titles into directory C:/Media/backup/THE_BIG_BANG_THEORY_S7_D1
Error 'Scsi error - MEDIUM ERROR:NO SEEK COMPLETE' occurred while reading '/BDMV/STREAM/00310.m2ts' at offset '511180800'
Error 'Scsi error - MEDIUM ERROR:NO SEEK COMPLETE' occurred while reading '/BDMV/STREAM/00310.m2ts' at offset '511180800'
Error 'Scsi error - MEDIUM ERROR:NO SEEK COMPLETE' occurred while reading '/BDMV/STREAM/00310.m2ts' at offset '511180800'
Error 'Scsi error - MEDIUM ERROR:NO SEEK COMPLETE' occurred while reading '/BDMV/STREAM/00310.m2ts' at offset '511180800'
Error 'Scsi error - MEDIUM ERROR:NO SEEK COMPLETE' occurred while reading '/BDMV/STREAM/00310.m2ts' at offset '511199232'
DEBUG: Code 0 at iaWwv[BA)Fj)ozu9 TD1:121263038
DEBUG: Code 0 at =7aE'iYVX@qJ'A7BtXsq:121262302
DEBUG: Code 0 at iaWwv[BA)Fj)ozu9 TD1:213130559
DEBUG: Code 249609 at iaWwv[BA)Fj)ozu9 TD1:29393286
DEBUG: Code 0 at [8elkj;bRJh6^aE%w"Tz':29398967
DEBUG: Code 0 at [8elkj;bRJh6^aE%w"Tz':29398967
DEBUG: Code 0 at [8elkj;bRJh6^aE%w"Tz':29398967
LIBMKV_TRACE: Exception: Error while reading input
Failed to save title 2 to file C:/Media/backup/THE_BIG_BANG_THEORY_S7_D1/The_Big_Bang_Theory_Season_7_Disc_1_t02.mkv
Error 'Scsi error - MEDIUM ERROR:NO SEEK COMPLETE' occurred while reading '/BDMV/STREAM/00302.m2ts' at offset '2667245568'
Error 'Scsi error - MEDIUM ERROR:NO SEEK COMPLETE' occurred while reading '/BDMV/STREAM/00302.m2ts' at offset '2667245568'
DEBUG: Code 0 at iaWwv[BA)Fj)ozu9 TD1:121263038
DEBUG: Code 0 at =7aE'iYVX@qJ'A7BtXsq:121262302
DEBUG: Code 0 at iaWwv[BA)Fj)ozu9 TD1:213130559
DEBUG: Code 1302366 at iaWwv[BA)Fj)ozu9 TD1:29393286
DEBUG: Code 0 at [8elkj;bRJh6^aE%w"Tz':29398967
DEBUG: Code 0 at [8elkj;bRJh6^aE%w"Tz':29398967
DEBUG: Code 0 at [8elkj;bRJh6^aE%w"Tz':29398967
LIBMKV_TRACE: Exception: Error while reading input
Failed to save title 10 to file C:/Media/backup/THE_BIG_BANG_THEORY_S7_D1/The_Big_Bang_Theory_Season_7_Disc_1_t10.mkv
0 titles saved, 2 failed

This is the key:
The drive is having problems reading sections of the disk. Most likely, it's a scratch or smudge. Cleaning is the first step.

I thought that as well, and did clean one smudge from it. It is now extremely clean, but still giving me the same errors. When I look at the surface, I see a strange distortion all over the disk. i checked Disk 2, and don't see the distortion. The disk plays fine in my BD player, but it may have more of a fault-tolerance built in.

Any ideas? Do you want me to post a pic of the distortion?

Distortions can be just the way the data is laid out, so pictures wouldn't help much.

HOWEVER... You might try increasing the retry count (Preferences->IO menu). If you have another drive, sometimes the alignment of the laser is just enough different to allow things to work - I have 4 BD drives here in 3 different computers, and some disks simply refuse to work in some drives, but work fine in others.