I can not recall the circumstances surrounding the 59 yarder vs. the Jests other than the facts I mentioned. I think it was kicked just as the first half ended which was why Shula even tried such a long kick at a place that was notorious for failed attempts from beyond 50. I can not even remember if the Phins won that game.
As to your first part of the post, no problem. Those really are some great memories. I find myself thinking back to the good ole days of Marino lead Dolphins football from time to time. I have a few seasons worth of highlight clips from the old "Primetime" show with Berman and Tom Jackson. I break out the VHS on occasion and watch some of them.
The 94 season in particular was one of my favorites. There were some classic games that year, ending with the heartbreaking loss to the Chargers in the divisional round. The Chargers cheated us hard in that game and Stoyo missed that kick that Dan set him up for at the end, after the Chargers took the lead with just 22 seconds left. Marino got us in FG position in just ONE PLAY.

Missing that kick was a nightmare as I had tickets to the AFC Championship game in Pittsburgh the next week. I was on cloud 9 at halftime, the Phins winning 21-6 and Im holding a ticket to watch Marino play for a trip to the Super Bowl in his hometown. That was the most disappointing day in the history of my Phins fan life.