If you are a new Flickr account user then you are not searchable until you have had your account reviewed by staff. First, you need to upload at least 5 public photos. If you upload photos as a private, then they will not count. It will take 3-5 working days to review. Make sure that you are adding accurate tags and descriptions to your photos to show in searches or groups. If your account is not new and some of your photos are not showing, then you can check your account is hidden from search or not. You can check this by going to 'You' > 'Your Account' > 'Privacy & Permissions'. 'Hide your stuff from public searches' should be set to "No" under 'Global settings'. If only some of photos are not showing in searches, then make sure they are not flagged to be hidden from searches.
You can install PicBackMan's Flickr uploader for Mac from the website and start backing up photos and videos.
Quick Tip to Keep your Photos Safe
Making backups of your photos & videos is a chore you probably skip, but it really doesn't have to be hard. Here's an effortless way to backup photos - PicBackMan. PicBackMan is the easiest and simplest way to keep your photos safely backed up in one or more online accounts. Simply download PicBackMan (it's free!), register your account, connect to your online store and tell PicBackMan where your photos are - PicBackMan does the rest, automatically. It bulk uploads all photos and keeps looking for new ones and uploads those too. You don't have to ever touch it.