I had this problem on my T3i and somehow my camera got set to not focus on all 9 points and was only focusing on one spot, off to one side.
Also, I had a setting on my Main Menu that let me change between AF Modes: One Shot, AI FOCUS and AI SERVO. That matters if you are shooting a stationary or moving object. AI FOCUS is sort of the "auto choose." I had this set wrong for what I was trying to shoot and couldn't get a lock.
My new lens also came with a dial, where you could limit how much auto focus it would cycle through. Infinity for things farther away, and then you could rotate the lens if it was 1 m, 3m, etc away.
I hate my Canon 60D. For the life of me, I cannot get it to focus all the way on everything in a picture. I know I can depress the shutter button a few times and get it to sense what it should focus on but it's never right. When I use the self-timer and remote, almost all of my photos are blurry because it doesn't focus on anything. I have beautiful family pictures taken at Christmas that are useless because it didn't focus on anything at all when I used the remote.
At this point, I'd be happier with iphone X pictures than I am with this camera. I bought it when it first came out and I've read books on it, taken online classes on it and even googled how to get better images with it. I've switched lenses and I still have the same problem.
I want to replace it with a cheaper Canon EOS camera but before I do that, I thought I'd ask to see if I'm doing something wrong.
How in the world do I get this camera to take a picture where the entire frame is in focus? My old Canon Rebel would focus on everything in the frame, similar to just a point and shoot. Loved it but I just had to get an upgrade...and now the older Rebel is dead.
The fact it doesn't focus on anything at all sounds like your lens isn't set right or your remote isn't fully functional.
Your lens has a setting for auto focus and manual focus. It sounds like your lens are set to "manual" instead of auto which means the camera can't tell the lens to focus. It is really easy to move that switch when taking the camera out of a bag or putting it away. The other, not all remotes are equal! Some remotes can focus the lens. Some cannot. It only runs the shutter. You'll need to stand behind the camera, get the focus the way you want it, then move in front of the camera and use the remote to click the shutter.