Where are these trays made?

To be honest I bought these too long ago to remember what was on the packaging but I am very careful what I purchase with regard to food grade silicone. I have to assume the US for several reasons. The company started out in an apartment in San Francisco in 2000 by three friends who I believe were, a chef, a baker and a prep cook. Their products are made of silicone that is a step above what the FDA mandates. They are recommended by Lisa McManus who is the Senior Editor of equipment testing & & tasting features for Cook's Illustrated, America's Test Kitchen. They are also highly recommended by Professional Bartenders, in particular Brian Van Flendern who was the head mixologist at Thomas Keller's Per Se which is a 3 star Michelin Restaurant, which is widely regarded as the best in the world. Among other reasons these pros like this tray is because the cubes are large yet melt the slowest out of any tested which means your drink won't get diluted as quickly. They also noted the quality of the silicon, construction, etc. Also the company is located in Seattle Washington and they will ship their products outside of the U.S. Their official name is ICI USA Tovolo. They are also a member of the International Housewares Association, a not for profit full service trade organization. You could always double check and call them at 206-633-6066. I would be very surprised to find out they were made anywhere other than in the U.S. I hope this information is helpful.

Are these ice trays BPA, PVC and phthalate free?

I don't know exactly, (didn't read the packaging) but since they are a silicon product I assumed so. BPA, PVC and phthalates are usually found in conventional plastics.

has anyone used these trays to make soap or bath melts?

I have not but do struggle getting hard ice out of the squares so something softer may have the potential to break apart.

I would like to use these to make baby food. Are they easy to use? How do these compare to Fresh Baby So Easy Baby Food and Breast Milk Trays?

They should work well to freeze baby food. Each cube is 1"x1"x1". So you can thaw as many as you need as the baby grows. I don't know how they compare to the trays you asked about. It has been many years since I have had small children as my youngest is now 41 years old.