To echo what @Ragsf15e posted, you own the runway as long as you're on it. Certainly you should be reasonable (don't pitch a tent and camp) but don't rush and make a critical error--gear retraction, turn too fast and collapse the gear (generic example not necessarily Mooney specific), etc.
The other thing is you can't control what you can't control. At the towered airport many times controllers can apply reduced runway separation or category separation for a full stop landing behind a full stop or touch and go. However, there would be a different clear of runway standard if the succeeding aircraft were a touch and go versus a full stop. I'd always found that many times the go around was a result of the arriving aircraft not making sufficient adjustment to their pattern to account for the preceding aircrafts type of landing even after the pilot was advised.
Finally at uncontrolled airport many people will apply a clear of runway standard when it's not needed/required by the FARs. That's their choice or comfort level that determined if they were to go around. Certainly at your first approach the succeeding aircraft was aware of your arrival and hopefully you announced your type of landing (i,e, full stop) for them to base their spacing. Again, you have to fly your aircraft and operate safely. The rest is on the other pilots to operate their aircraft safely.
Control what you can control, work together to ensure efficient, safe runway and airspace use
**Incidentally, I prefer 105 MIAS/90KIAS finals until the MDA or DH--that's a technique. The other most common technique is your approach--fully configured before the FAF. Do what you're most comfortable with and keep flying