I would try a softer reed for certain, as it sounds as though that is your problem.
I play several 8* Links and Link based MP's on Tenor, and use a #3 Vandoren strength. Your mileage might vary.
softer reed, and you can also profile (i.e. file the reed with a razor blade) and this helps with low notes. I just switched from an Otto 5* to an Otto 8 and was suffering some of the same problems.