Hey Jefferson! Using (i) as the example, I think your understanding is correct either way. You know the electrons are moving to the right - You can determine that by right hand slap rule. Field into the page, motion upwards - Resultant force on a positive change would be to the left, so the electrons experience a force to the right. That bit is without confusion, and that's the key bit tbh! Like, all of your diagrams say the exact same thing in terms of where the electrons are moving, I don't think they conflict each other at all.
The issue isn't really about your knowledge of induction, it's about the meaning of a '+'ve end and a '-'ve end. The electrons accumulate on the right hand side of the rod, meaning it will carry a negative charge on that side. Thus, that side is negative, the '-' end. In the context of electrical circuits though, you'd consider where the electrons are flowing to be the '+' end, because electrons always flow towards the positive terminal.
The "circuit completed externally" bit actually matters here, because if we have a circuit charge won't accumulate anywhere. It will just flow around the circuit in a certain direction (in this case, from right to left through the rod). In
that case I guess the argument could be made that the '+' end is the right side of the rod, but I don't feel like that is what the question is driving at? I think it wants charge accumulation, not polarity.
Again, semantics. I think the question is a little poorly worded (it's tricky to word these things sometimes)