Les, I use Pony strap clamp for my frames, but I think any brand strap clamps should do the job.the most important factor in frame making is making precise 45° cuts and just as important, is cutting each pair of sides exactly the same length. If one side is longer, even a fraction of an inch, the frame will not be square. As for glues that you show, I would use the Titebond, but any of the white Or yellow glues will work without any problems.
I don’t bother reinforcing the corners as I glue the art piece into the frame.