3 gauge is indeed equivalent to two 6 gauge cables. The webpage below is a good calculator for that:
The cables on either side of the BMS do not need to be the same length. Neither does the 3 gauge cable on the positive side need to be the same length as the negative cables. Since 3 awg doesn't exist, or at the very least is difficult to come by, use 2 gauge. My wire gauge calculator says that 2 awg is good for about 200 amps over a 3' round trip distance.
Since you have multiple batteries you need to make sure all the negatives are the same length and then all the positives are the same length.
On Pack 1, Cell 1, it looks like you might have a ring terminal under the bigger cable on the negative post. It's hard to tell from the picture and the washer that is on the stud. On that same terminal, it looks like the cable lugs are torn. That's not good. I'm guessing that your crimping tool did that.