Welcome to the community, I am very sorry to hear that you are experiencing some connectivity and power issues with your headphones.
Can you please confirm if these are the SoundSport Free Wireless earbuds?
If this is the case, the red blinking LED's on your headphones and the fast blinking white LED's on the charging case would indicate that there is an error with your headphones. You will need to get in contact with your regions official Bose product support who will be able to talk through with you what options are available for you regarding this issue. Please follow this link, select your region and scroll down to "Contact Us". There you will find the appropriate contact information, an agent will happily assist you further there.