The tee times are fine, I see that as a benefit and a plus to be honest.
The "2 minutes to look for your ball, after that the ball should be played as if the woods are water and we are making up our own rules and this is no longer golf" rule is completely moronic. No course, or club, is going to tell me how to play my round or override the USGA if I'm anticipating playing by the rules of golf on an actual golf course.
Tee boxes are touchy as well. I learned to play some of my best golf from the tips because it really opened my eyes to course management and making smart moves in terms of approaching the course's holes from different angles and areas to set up the next shot properly. Should my handicap happen to dip back over 10, or hit 11... I am still not going to be told to move up a box either. Would this be the case at a course that is <6000 yards? Say you have a 12 hc golfer that is really struggling with his putting/short game at the beginning of this season, yet the guy has a ridiculous swing speed and carries the ball 270-280. This club would have the audacity to try and tell him to move up, even though he's perfectly fine playing from the tips?
I definitely would have had a lot to say at that meeting!
The point of the "local rule" was to force everyone to hit a provisional while at the tee box if they believe their first ball might be lost. They want to ensure if you can't find your first ball you'd play the provisional and not attempt to go back to the tee box holding up the group behind you.
There are some dense wooded areas on the course so without a gallery of fans or forecaddie to see exactly where the ball landed, the chances of finding your ball in 2 minutes is pretty slim.
The tee box based on handicap rule will likely be their big stick to use if someone is really playing slow and not hitting from the right tee box. I can't imagine they are going to diligently police this, but simply use the rule to get the worst offenders to comply.