Do you control the puppet from the backside

Yes, the puppet is controlled from backside.

Dose her clothes come off

Not all.

Does she have a string to pull for mouth movement or an area in back to move a trigger or move mouth with hands?

This 14 inch glove style Susie with peach skin puppet has a movable mouth and hands! Yes there is an area in back to move mouth with hands.

Do all the puppets come with a arm rod or do i have to buy one seperatly

Arm rod comes with 25 and 30 inches puppet. For 14 inches you need to buy it separately.

Are these puppets large enough for adults to use as well behind a back drop would they be a to small?

Yes this puppet is for Adults and can be controlled from backstage.