Glad I was able to help. In actuality, even with all the time and effort I put in to keeping my Macs "lean and clean", after installing Sierra (I did a fresh, "virgin" installation on both of my machines), startup is still "somewhat" slow, as is shutdown. A couple of my third party applications do launch some "stuff" at startup (called "daemons and agents" (there are also a number of such items loaded via the OS)), but I had those same ones with El Capitan (and Yosemite), and start-up and shut down was faster. And I have SSDs inside both of my Macs!
I see you use Apple's Mail program. Just out of curiosity, why not use Outlook 2016? I have been using Outlook for a number of years, first as part of Office 2011, and now Outlook 2016, and I have never had issues with it. I have seen, though, issues with Mail posted on these forums. But, if it works well for you, good.
I assume when you say "OnyX still finds that I need to repair the startup disk", that occurs right after you enter your password at the startup screen, at which point Onyx offers the opportunity to Verify the structure of the disk. I only run that the very first time Onyx starts at the very beginning of my weekly disk cleanup/maintenance/repair, and backup, tasks. It has never reported any issues with my disks (recently SSDs), although I also use TechTool Pro (mentioned below). I assume this link describes your machine:
http://www.everymac.com/systems/app...core-i5-2.4-13-late-2011-unibody-thunderbolt-
If that is the case, you have a (slow) 5400 rpm internal drive (HDD, not SSD)), so that slow rpm does contribute to your slow startup issues. But, I would venture to surmise that you need a more advanced disk maintenance/repair program like TechTool Pro to both do directory repairs/rebuilds, and defragment/optimize your internal drive. I have SSDs inside both of my Macs, and defragmentation/optimization no longer is needed (nor recommended) for such technology, but it is definitely helpful for HDDs. I have been using TechTool Pro for a number of years, through at least 6 Macs, and until recently, ones with HDDs, and I can tell you for a fact that it is an excellent utility, and much better than Disk Utility in terms of repairs and defragmentation/optimization. You might want to consider purchasing it, and trying it out before you take it to the shop. In fact, maybe it will "cure" your ills regarding what Onyx is telling you. Also, it would be an excellent addition to your software library. Here is information about that product:
http://www.micromat.com/
https://www.micromat.com/store
Yes, it is not "cheap", but well worth it. Usually, around this time of year, I have previously seen it on sale, but apparently not now.
One other thing about your internal drive I should mention. When I first purchased my late 2012 Mac Mini, it came with a 1 TB, 5400 rpm internal drive. Well, about 4 months later, I replaced that drive with a fast Samsung 840 Pro 256 gig SSD (I really did not need 1 TB!), and what an improvement! I felt like I had satisfied what Tom Cruise said in "Top Gun": "I feel the need, the need for speed!". Also, I enclosed that 1 TB drive inside a nice, slim Orico external enclosure, and it has come in handy whenever we travel. It is especially handy for me to watch movies, TV series, etc., on long flights (I use it with my 13" MacBook Air).
OK, I've said enough! You also have a Merry Christmas, and again I am glad I was able to assist you.