If they were stored on an external SD card, just move the card to the new phone.
If on the internal memory, you can hook up the phone to a PC (if even that works since you had damage to it), or email the pics from the old phone to the new one or do a wifi move to the network using an app like this
https/play.google.com/store/apps/details?id=com.smarterdroid.wififiletransferpro&hl=en
If your battery is dead, you can buy a pretty cheap external charger for it, charge it up, start up the phone and copy the files to a PC.
Next time (with your new phone), make sure you download the files to the computer for backups. Or get Dropbox or a similar cloud storage to keep your files on for backups.