Robert
Tomorrow will be the 40th anniversary of getting my Pilots License. I have done touch and goes in many aircraft, basic, complex single and multi engine aircraft. The Mooney takes more practice than most. The Mooney requires more precision to fly correctly than most. 90 miles an hour on final is way to fast. No flap landings are just abusing your aircraft and incresing your maintenance costs. I have an F model and can if I work hard at it, have it stopped in about 700 feet. If you continue to fly 90 MPH finals with no flaps, you are eliminating many runways that you can use, they will be to short for safety. 75 MPH on final is great, and slow to just above stall speed over the numbers. Please read all of the information on properly landing your Mooney on this web site.
As far as touch and goes go; I do not do them reguarly in my Mooney, unless I am on a long runway, there is to many configuration changes for me. Yes I have Electric gear and flaps, but it still requires a large trim change to go from landing trim to proper takeoff trim. Touch and goes can teach the proper attitude and speed control on final, how to touch down properly, but do not teach how to get the plane completely stopped.
I have had Instructors have me do them, and I have refused due to comfort levels.
As has been stated before, your nose wheel has a problem, get this corrected. If you go to the Don Maxwell web site, you can read about what a loose nose wheel can do to your landings. Please get this fixed.
Your Instructor may be a good instructor, but he needs to teach you to slow down. Not every airport has a 5000 ft runway with jet traffic to deal with.
Ron