Sort/Search

No.

Yes, you can.
You can change folder titles by double-clicking on the folder name.

Photos in “Album Shared with me” are displayed in descending order by the date they were uploaded to my Picturetown and cannot be rearranged.

Yes.

With the Calendar display selected, choose upload or shooting date by clicking the appropriate tab.
Dates on the calendar indicated in blue are dates on which images were uploaded or shot.
Click a date indicated in blue to display the images uploaded or shot on that day.

Yes.

Hold down the SHIFT key and click dates on the Calendar to select a range of dates. Images uploaded or shot (depending upon which panel is displayed) on those days are displayed.
However, the CTRL key cannot be used to display images uploaded or shot on multiple random (not consecutive) dates.

Input a keyword in the search conditions form of the My Photos page and click on the [Search] button.

Modify your search information (keywords) and try again.

This function allows you to rate images, one at a time, with specification of up to 5 stars.
Use this feature to classify images as favorites or by degree of importance.

One or more (up to five) stars may be displayed below images if the rating function has been applied to the images.

Yes.
For details, refer to “Narrowing searches.”