Are hair and body sprays allowed in checked luggages?

YES

only matters if you carry on

You can check in any amount of liquids. So don't worry. Just make sure you tape the bottle caps with duct tape or something as strong. The reason? The cargo bay is not pressurized, which could lead to the bottle oozing out the liquid and ruining your clothes. So by duct taping the cap and putting them into a plastic bag before placing it in your luggage is very helpful.

There is no size limit if it's in your checked luggage, so yes, you can put these in your checked bags. Carry on bags have a size restriction of 3-4 oz (check with your airport). It's supposed to be standard, but I travel a lot and have seen different postings at different airports.

Yes you can. Double check with the airline though (in case they have weird rules) and make sure to wrap you items in a plastic bag in case they burst.

they might need to be a certain size of container. Go to the airports website and see if you can find the information or guidelines.

happy flying

Yes.

Yes although be advised that you may only travel with 4oz. bottles of anything. I think its 4oz.