But when I open another session (other people in chrome) and I try to work with 2 chromes (one chrome with YouTube opened and other chrome doing anything) the second chrome have a lot of crashes.
I’ve trying to clear my history and cache but no success.
Yes, if debian has the same problem it is likely a chrome issue or… something wrong on your computer as I can not really assume this is a problem for more people.
I do not really use chrome a lot, my default is Firefox but I tried two windows (one cloned) with youtube running on one and a news site with video on the other, no problem.
I would try running stressapptest, you might have to install that using zypper and play a bit with it to stress out your PC, does that find erorrs?