Here a balk, there a balk...

[orioles35]

Ignoring the "foul ball into the mitt" mess where I had to invoke the "runner cannot retreat after legally obtaining" rule...

R1. Pitcher lifts stride leg towards 3rd, pivots and throws to first. I have a balk here, as has been discussed ad nauseum here. I decided to have fun with the explanation and told the coach this is similar to the pitcher going behind the rubber, then to a base...that's TWO directions, not one.

R2 (luckily, this wasn't the same pitcher). Pitcher lifts stride leg up, while looking at 2nd...then I guess he decided mid-move he wasn't going to throw to 2nd and put his leg back down again WITHOUT taking a step towards 2nd. I have a balk here, correct...not for the move, but for not throwing home.

Just wanting to confirm these were the correct interpretations/explanations.