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There was some mold growing inside the caulk at one corner of my tub so I cut it out. In doing this I discovered I have a few small gaps in the old caulk I’d like to fill.

1. I want to practice removing/applying new caulk (I am a complete beginner here), so I’d like to do just the front part of the tub. Is this ok? Will there be an issue where the new caulk meets the old caulk at the front-right corner of the tub? (1st photo shows the small gap where I cut out the old caulk where mold was growing).

2. In the 2nd photo, where the outside of the tub meets tile, it looks like it is caulk but it seems different than the caulk used inside the tub. What type of caulk/sealant should be used here?

3. For the 3rd photo, what can I use to fill in the small gap where the tub, floor and tile all meet? Is there some kind of very simple pre-made grout I can just use to fill up that hole? Or should I use caulk instead?

Thank you in advance for whoever may take the time to read and respond to my questions.