I have to second LMSANS post, of coming off as a harda$$, but whether I was playing or coaching, the "in the vicinity play" was one thing that really got me going. I guess I have carried that philosophy over into my umpiring. It's not that I want to interject myself into the game, but rather I want a strike over the plate and in the zone as well as the defense to step on on the bag and stay on the bag.
Having said that, in Pete's sit #1, I have R1 safe at 2nd and an out at 1st because I actually saw F6 missed the bag (one of the base coaches could/should have seen this too). I'm also making no bones about the call at 2nd, so everyone's going to know the call, and R1 had better not be giving up (something else I didn't much care for as a player or a coach). I feel sit#2, is a little different scenario because the umpire/s were blocked from actually seeing what occurred. But in this situation I'm reading what both the offense and defense is doing. This will usually tell what transpired, usually.