I would probably pick BMO just because of the location / access to other lateral and exit opportunities.

I don’t know enough to have a strong view of the group, sorry. But you will be at a disadvantage for NY-based PE / other roles if you’re on the west coast. There are some groups with good reputations there (e.g., MS Menlo Park), but even in those groups, most people tend to stay in west coast roles after. My advice is to take the offer if it’s the best one you have and to consider an alternate offer only if it is NY-based.

Probably Jefferies because it’s better-known within finance and even outside it (no, not a bulge bracket (yet), but people are still more likely to know it over Raines, even though Raines is well-respected in its market).

Spring weeks are sometimes overrated (you can get IB internships without them, and there’s a lot of misleading information about them online), but in this case, the Jefferies one is probably a better bet if they hire a higher percentage of interns from it. No idea on the specific numbers here, sorry – I haven’t been an intern in a few decades and don’t really track bank-specific information anymore.

This seems pretty easy: Do you want to do investment banking or sales & trading? If IB, Citi; if S&T, HSBC.

If you’re undecided in the current environment, I would almost always recommend IB over S&T because S&T has declined over time and, these days, it’s appropriate mostly for people who are very, very interested in specific products/strategies within it. IB is much better for generalists.