Bridal Shower for a closed ceremony if reception is the same day?

I think you will get mixed reviews about this, but my personal answer is that I think it is fine, as long as the ceremony itself is truly only immediate family members.

I'm on team "No". Whoever is invited your ceremony are the guests you invite to your reception. The ceremony is for you, the reception is to thank your guests for coming to your ceremony. The reception is not to invite a larger crowd and have them bring gifts for either a shower or just for attending a party without having been part of your actual wedding.

I would ask yourself what the bridal shower is celebrating, and if you want that. What the bachelorette party is celebrating, and if you want that. Don't be afraid to say certain things aren't for you or your style. If you want the celebrations then I see nothing wrong with inviting whom you wish, even if your ceremony is kept small and intimate.

I think a lot of this is semantics. If you want to do a closed ceremony that truly is family only, I would call the reception later a "celebration of marriage" or something like that, i.e. it would need to be informal in my opinion. As a guest I wouldn't want to be confused as to what I've been invited. If you want to have a traditional wedding with a ceremony followed by a reception, I think you need to invite everyone to both events.

No. Everybody invited to a pre-wedding event like a shower or a bachelor/ette party needs to be invited to the wedding itself, not just a reception.

Hmm, the bach party I have less issue with. The bridal shower, on the other hand...I don't think it's in good taste to have a bridal party and invite people who are not getting to witness the ceremony. If you were having a bridal party with just family, that's one thing.