Yes to the perfect draw tool.
Again, yes to the above recommended rH range.
Dryboxing can help, but it has been relatively inconsistent for me. I ended up chucking a whole six pack of Partagas Lusitanias b/c they were all plugged, even after dryboxing for weeks. your biggest asset will be patience. I’ve learned to let new boxes sit in the humidor for 3 to 6 months before I touch them. It’s been a while since I’ve had a truly plugged cigar now, but that’s after many, many months of figuring out the right combination of relative humidity versus rest time.