Mistakes are not only OK, mistakes are a necessary step in the process, and fearing them is unhealthy. So is perfectionism.
One thing you need to do is stop videotaping him. You need to focus on the joy in this activity, and not make it such a serious chore by videotaping things he needs to improve upon. You should probably stay out of it, other than setting a brief practice time (15 mins., as suggested below).
You need to help him get over his fear of mistakes and need for perfectionism, right away. One of the main things you do is that you ONLY praise and reward EFFORT, and you never praise and reward innate "ability" or "intelligence."
If you want to see the very eye-opening studies on this, Google Carol Dweck. I learned about Dweck in my education classes at university. It's fascinating to watch the effects of praising effort vs. intelligence/ability, which has immediate effects on kids' performance. This is one of the most important things parents can learn.
I am copying the below from Wikipedia, but do further research on Dweck's philosophy. You will be happy you did.
From Wikipedia:
Professor Dweck has primary research interests in motivation,[2][3][4][5][6][7] personality, and development. She teaches courses in Personality and Social Development as well as Motivation. Her key contribution to social psychology relates to implicit theories of intelligence, per her 2000 book Mindset: The New Psychology of Success. According to Dweck, individuals can be placed on a continuum according to their implicit views of where ability comes from. Some believe their success is based on innate ability; these are said to have a "fixed" theory of intelligence (fixed mindset). Others, who believe their success is based on hard work, learning, training and doggedness are said to have a "growth" or an "incremental" theory of intelligence (growth mindset). Individuals may not necessarily be aware of their own mindset, but their mindset can still be discerned based on their behavior. It is especially evident in their reaction to failure. Fixed-mindset individuals dread failure because it is a negative statement on their basic abilities, while growth mindset individuals don't mind or fear failure as much because they realize their performance can be improved and learning comes from failure. These two mindsets play an important role in all aspects of a person's life. Dweck argues that the growth mindset will allow a person to live a less stressful and more successful life. Dweck's definition of fixed and growth mindsets from a 2012 interview:
"In a fixed mindset students believe their basic abilities, their intelligence, their talents, are just fixed traits. They have a certain amount and that's that, and then their goal becomes to look smart all the time and never look dumb. In a growth mindset students understand that their talents and abilities can be developed through effort, good teaching and persistence. They don't necessarily think everyone's the same or anyone can be Einstein, but they believe everyone can get smarter if they work at it."[8]
This is important because (1) individuals with a "growth" theory are more likely to continue working hard despite setbacks and (2) individuals' theories of intelligence can be affected by subtle environmental cues. For example, children given praise such as "good job, you're very smart" are much more likely to develop a fixed mindset, whereas if given compliments like "good job, you worked very hard" they are likely to develop a growth mindset. In other words, it is possible to encourage students, for example, to persist despite failure by encouraging them to think about learning in a certain way.