I deleted very important pics from this camera can I retrieve them

Yes, you can retrieve all these deleted pictures back from your camera, provided that they've not been overwritten by anything new on the same camera memory card.
1). Immediately pick out the inner memory card of your digital camera in case that any newly taken picture would rewrite your original photos.
2). Insert this memory card to your computer via a card Reader and prepare to retrieve all your deleted pictures.
3). Apply a deleted photo recovery freeware to retrieve all your deleted photos back successfully:
http://blog4mark.blogspot.com/2012/12/photo-recovery-after-delete.html
I believe this data recovery freeware can work perfectly on your camera memory card just in the same way as it completely retrieves all the deleted data of my friend off from his phone memory card. Just give it a shot!
4). Save and back up all the restored photos on a different memory card or drive in case of data recovery failure.
Note: Never forget to back up everything important at least on two memory cards or locations in the future.
Good luck!

If you are using a memory card, take no more pics until you've recovered the photos, take the card out of the camera. This is to reduce the chance of you overwriting some of your "lost" photos. There are many good freeware photo recovery software options that are available to help you recover your photos. This blog article reviews and outlines several of the better ones.

This link should help you retrieve your deleted pictures:

http://www.cardrecovery.com/how_to_recover_deleted_digital_pictures.asp