Topic: EB1B applicant from India, can you trust the green card tracker?

It seems employers are starting to file their Indian workers as EB1 to get around the EB2/EB3 backlog, so that's why movement has slowed. But I wouldn't stress too much, if you have a I-140 approved you can always apply for EAD if your H1B/L1 is expiring. Encourage your employer to do this ASAP when eligible because EAD processing times are slowing too.

Topic: India PD EB1C Sep 2018 - Will I be able to file 485 by Oct 2019?

You can travel on your L-1 even after your file I-485. So you can travel without issue until March 2022. Only time you might not be able to travel is after your L1 expires and you don't have EAD/AP yet from underlying I-485 petition.